3- Using the formula LCM- HCF- Product of two numbers - Find the LCM of the numbers i 455 and 78

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3. Using the ...

Question

3. Using the formula $L C M \times H C F = P r o d u c t o f t w o n u m b e r s$ , Find the LCM of the numbers $(i) 455 a n d 78$

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Solution

Step 1
Definition:
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 $455 a n d 78$
Step 3
Factorization of 455 and 78
Factorizing 455 we get $455 = 5 \times 7 \times 13$
Factorizing 78 we get $78 = 2 \times 3 \times 13$
Step 4
Finding HCF of 455 and 78
HCF of 455 and 78 is 13
Step 5
The formula of finding LCM
LCM= $\frac{P r o d u c t o f t w o n u m b e r s}{H C F}$
Step 6
Calculation:
LCM = $\frac{(455 \times 78)}{13}$ = $\frac{35490}{13} = 2730$
Step 7 The required LCM is 2730

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Step 1	Definition: 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 $455 a n d 78$
Step 3	Factorization of 455 and 78 Factorizing 455 we get $455 = 5 \times 7 \times 13$ Factorizing 78 we get $78 = 2 \times 3 \times 13$
Step 4	Finding HCF of 455 and 78 HCF of 455 and 78 is 13
Step 5	The formula of finding LCM LCM= $\frac{P r o d u c t o f t w o n u m b e r s}{H C F}$
Step 6	Calculation: LCM = $\frac{(455 \times 78)}{13}$ = $\frac{35490}{13} = 2730$
Step 7	The required LCM is 2730

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

3. Using the formula $L C M \times H C F = P r o d u c t o f t w o n u m b e r s$ , Find the LCM of the numbers $(i) 455 a n d 78$