Using the relation between H.C.F. and L.C.M., Complete the following table. First number ( m ) Second number ( n ) H.C.F. of m and n L.C.M. of m and n 2190 _____ 2 140160 324 234 18 _____ _____ 2120 106 2120 980 890 _____ 87220 580 _____ 20 24940 748 _____ 44 14960

We know that, The product of the H.C.F. and L.C.M. of two numbers is equal to the product of the two numbers. In first row of the table, ⇒ 2190 × n = 2 × 140160 ⇒ n = 2 × 140160 2190 ⇒ n = 128 In second row of the table, ⇒ 324 × 234 = 18 × L . C . M . ⇒ L . C . M . = 324 × 234 18 ⇒ L . C . M . = 4212 In third row of the table, ⇒ m × 2120 = 106 × 2120 ⇒ m = 106 In fourth row of the table, ⇒ H . C . F . × 87220 = 980 × 890 ⇒ H . C . F . = 872200 87220 ⇒ H . C . F . = 10 In fifth row of the table, ⇒ 580 × n = 20 × 24940 ⇒ n = 498800 580 ⇒ n = 860 In sixth row of the table, ⇒ 748 × n = 44 × 14960 ⇒ n = 658240 748 ⇒ n = 880 Thus, using the relation between H.C.F. and L.C.M., we have the completed the given table. First number ( m ) Second number ( n ) H.C.F. of m and n L.C.M. of m and n 2190 128 2 140160 324 234 18 4212 106 2120 106 2120 980 890 10 87220 580 860 20 24940 748 880 44 14960

E M B I B E

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice

Prakash Tiwari and Ishita Joshi Solutions for Chapter: Playing With Numbers, Exercise 7: Let's Practice

Author:Prakash Tiwari & Ishita Joshi

Prakash Tiwari Mathematics Solutions for Exercise - Prakash Tiwari and Ishita Joshi Solutions for Chapter: Playing With Numbers, Exercise 7: Let's Practice

Attempt the free practice questions on Chapter 6: Playing With Numbers, Exercise 7: Let's Practice with hints and solutions to strengthen your understanding. Cambridge connection Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Prakash Tiwari and Ishita Joshi Solutions for Chapter: Playing With Numbers, Exercise 7: Let's Practice with Hints & Solutions

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 13

Three iron rods of lengths $72 cm, 128 cm and 152 cm$ are to be cut into pieces of equal length. Find the maximum length of each piece that can be cutout such that no wastage of rod occurs.Also, find the total number of pieces that can be cutout.

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 14

Find the greater number that divides $67 and 96$ leaving remainders $2 and 5$ , respectively.

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 15

Can two numbers $91 and 117$ have $18$ as their H.C.F. and $364$ as their L.C.M.? Give reasons to justify your answer.

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 16

The L.C.M. of $90 and 108 is 540$ . Find their H.C.F.

MEDIUM

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 17

The L.C.M. of two numbers is $156$ and their H.C.F. is $13$ . If one of the numbers is $39$ , find the other.

MEDIUM

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 18

The H.C.F. of $1, 225 and 1, 500 is 25$ . Find their L.C.M.

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 19

Can two numbers have $1440$ as their L.C.M. and $54$ as their H.C.F.? Give reasons to support your answer.

MEDIUM

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 20

Using the relation between H.C.F. and L.C.M., Complete the following table.

First number ( $m$ )	Second number ( $n$ )	H.C.F. of $m and n$	L.C.M. of $m and n$
$2190$	_____	$2$	$140160$
$324$	$234$	$18$	_____
_____	$2120$	$106$	$2120$
$980$	$890$	_____	$87220$
$580$	_____	$20$	$24940$
$748$	_____	$44$	$14960$

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