Name: Questions on the relation of LCM and HCF
Uploaded: 2019-07-19
Duration: 19 min 46 s
Description: In this video, we will cover some exam level questions based on the relation of LCM and HCF. This video will be helpful for various competitive examinations....

Question

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 $m and n$
$2190$	_____	$2$	$140160$
$324$	$234$	$18$	_____
_____	$2120$	$106$	$2120$
$980$	$890$	_____	$87220$
$580$	_____	$20$	$24940$
$748$	_____	$44$	$14960$

Accepted Answer

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,

$\Rightarrow 2190 \times n = 2 \times 140160 \Rightarrow n = \frac{2 \times 140160}{2190} \Rightarrow n = 128$

In second row of the table,

$\Rightarrow 324 \times 234 = 18 \times L . C . M . \Rightarrow L . C . M . = \frac{324 \times 234}{18} \Rightarrow L . C . M . = 4212$

In third row of the table,

$\Rightarrow m \times 2120 = 106 \times 2120 \Rightarrow m = 106$

In fourth row of the table,

$\Rightarrow H . C . F . \times 87220 = 980 \times 890 \Rightarrow H . C . F . = \frac{872200}{87220} \Rightarrow H . C . F . = 10$

In fifth row of the table,

$\Rightarrow 580 \times n = 20 \times 24940 \Rightarrow n = \frac{498800}{580} \Rightarrow n = 860$

In sixth row of the table,

$\Rightarrow 748 \times n = 44 \times 14960 \Rightarrow n = \frac{658240}{748} \Rightarrow n = 880$

Thus, using the relation between H.C.F. and L.C.M., we have the completed the given table.

First number ( $890$ ) Second number ( $n$ ) H.C.F. of $m and n$ L.C.M. of $m and n$

$2190$ $128$ $2$ $140160$

$324$ $234$ $18$ $4212$

$106$ $2120$ $106$ $2120$

$980$ $890$ $10$ $87220$

$580$ $860$ $20$ $24940$

$748$ $880$ $44$ $14960$

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 $m and n$

$2190$ ___ $2$ $140160$

$324$ $234$ $18$ _

_ $2120$ $106$ $2120$

$980$ $890$ _ $87220$

$580$ _ $20$ $24940$

$748$ ___ $44$ $14960$

Important Questions on Playing With Numbers

Learn and Prepare for any exam you want !

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

Important Questions on Playing With Numbers

Learn and Prepare for any exam you want !

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 $m and n$

$2190$ ___ $2$ $140160$

$324$ $234$ $18$ _

_ $2120$ $106$ $2120$

$980$ $890$ _ $87220$

$580$ _ $20$ $24940$

$748$ ___ $44$ $14960$