Least Common Multiple of 556/61, 307/7942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 556/61, 307/7942 quickly i.e. 170692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/61, 307/7942 is 170692.

LCM(556/61, 307/7942) = 170692

LCM of 556/61, 307/7942

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 556/61,307/7942

Given numbers are 556/61,307/7942

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 556,307

Least Common Multiple of Numerators i.e. LCM of 556,307 is 170692.

GCF of Denominators means GCF of 61,7942 as per the given fractions.

GCF of 61,7942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,307

LCM of Fractions 556/61,307/7942 is 170692

Given numbers has no common factors except 1. So, there LCM is their product i.e 170692

Least Common Multiple of 556,307 with GCF Formula

Least Common Multiple of 556,307 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 556,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,307) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(556,307) x common factors =1 x 1 = 1

LCM(556,307) = ( 556 × 307 ) / 1

LCM(556,307) = 170692 / 1

LCM(556,307) = 170692


Lets's calculate GCF of 61,7942

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170692/1

Therefore the LCM of Fractions 556/61,307/7942 is 170692

Greatest Common Factor of 61,7942 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,7942 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 7942

List of positive integer factors of 7942 that divides 7942 without a remainder.

1,2,11,19,22,38,209,361,418,722,3971,7942

Greatest Common Factor

We found the factors 61,7942 . The biggest common factor number is the GCF number.
So the greatest common factor 61,7942 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 556/61, 307/7942

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 556/61, 307/7942?

Answer: LCM of Numerators as per given numbers 556/61, 307/7942 is

LCM of Numerators i.e. for 556,307 is 170692

GCF of denominators i.e. for 61,7942 is 1.

Thus, LCM of Fractions is 170692.Finally, LCM of Fractions for 556/61, 307/7942 is 170692.