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Question

3. Using the formula LCM×HCF=Productoftwonumbers , Find the LCM of the numbers (i)455and78


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Solution

Step 1

Definition:

  1. LCM means the smallest common multiple of two or more numbers

2. HCF means the highest common factors of two or more numbers.

Step 2

Given data:

Given numbers are 455and78

Step 3

Factorization of 455 and 78

Factorizing 455 we get 455=5×7×13

Factorizing 78 we get 78=2×3×13

Step 4

Finding HCF of 455 and 78

HCF of 455 and 78 is 13

Step 5

The formula of finding LCM

LCM=ProductoftwonumbersHCF

Step 6

Calculation:

LCM = (455×78)13=3549013=2730

Step 7The required LCM is 2730

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