Least Common Multiple of 757/876, 907/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 757/876, 907/494 quickly i.e. 686599/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 757/876, 907/494 is 686599/2.

LCM(757/876, 907/494) = 686599/2

LCM of 757/876, 907/494

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 757/876,907/494

Given numbers are 757/876,907/494

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 757,907

Least Common Multiple of Numerators i.e. LCM of 757,907 is 686599.

GCF of Denominators means GCF of 876,494 as per the given fractions.

GCF of 876,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 757,907

LCM of Fractions 757/876,907/494 is 686599/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 686599

Least Common Multiple of 757,907 with GCF Formula

Least Common Multiple of 757,907 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 757,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,907) = 1

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

GCF(757,907) x common factors =1 x 1 = 1

LCM(757,907) = ( 757 × 907 ) / 1

LCM(757,907) = 686599 / 1

LCM(757,907) = 686599


Lets's calculate GCF of 876,494

2 876, 494
438, 247

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 686599/2

Therefore the LCM of Fractions 757/876,907/494 is 686599/2

Greatest Common Factor of 876,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,494 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 876,494 . The biggest common factor number is the GCF number.
So the greatest common factor 876,494 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 757/876, 907/494

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 757/876, 907/494?

Answer: LCM of Numerators as per given numbers 757/876, 907/494 is

LCM of Numerators i.e. for 757,907 is 686599

GCF of denominators i.e. for 876,494 is 2.

Thus, LCM of Fractions is 686599/2.Finally, LCM of Fractions for 757/876, 907/494 is 686599/2.