Find the L C M and H C F of the following pairs of integers and verify that L C M × H C F = product of the two numbers. 26 and 91

Given, numbers are 26 and 91 26 = 2 × 13 91 = 7 × 13 13 is the largest number which divides both 26 and 91 . So, HCF = 13 . L C M = 2 × 7 × 13 = 182 Product of the two numbers = 26 × 91 = 2366 H C F × L C M = 13 × 182 = 2366 Hence, the product of two numbers = H C F × L C M

Find the L C M and H C F of the following pairs of integers and verify that L C M × H C F = product of the two numbers. 510 and 92

Given numbers are 510 and 92 510 = 2 × 3 × 5 × 17 92 = 2 × 2 × 23 2 is the largest number which divides both 510 and 92 . So, HCF = 2 . L C M = 2 × 2 × 3 × 5 × 17 × 23 = 23460 Product of the two numbers = 510 × 92 = 46920 H C F × L C M = 2 × 23460 = 46920 Hence, the product of two numbers = H C F × L C M .

E M B I B E

MATHEMATICS Textbook for Class X>Chapter 1 - Real Numbers>Exercise 1.2

Assam Board Solutions for Chapter: Real Numbers, Exercise 2: Exercise 1.2

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Assam Board Mathematics Solutions for Exercise - Assam Board Solutions for Chapter: Real Numbers, Exercise 2: Exercise 1.2

Attempt the practice questions on Chapter 1: Real Numbers, Exercise 2: Exercise 1.2 with hints and solutions to strengthen your understanding. MATHEMATICS Textbook for Class X solutions are prepared by Experienced Embibe Experts.