Least Common Multiple of 767/538, 650/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/538, 650/974 quickly i.e. 19175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/538, 650/974 is 19175.

LCM(767/538, 650/974) = 19175

LCM of 767/538, 650/974

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 767/538,650/974

Given numbers are 767/538,650/974

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 767,650

Least Common Multiple of Numerators i.e. LCM of 767,650 is 38350.

GCF of Denominators means GCF of 538,974 as per the given fractions.

GCF of 538,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,650

LCM of Fractions 767/538,650/974 is 19175

13 767, 650
59, 50

∴ So the LCM of the given numbers is 13 x 59 x 50 = 38350

Least Common Multiple of 767,650 with GCF Formula

Least Common Multiple of 767,650 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 767,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,650) = 13

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

GCF(767,650) x common factors =13 x 1 = 13

LCM(767,650) = ( 767 × 650 ) / 13

LCM(767,650) = 498550 / 13

LCM(767,650) = 38350


Lets's calculate GCF of 538,974

2 538, 974
269, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38350/2

Therefore the LCM of Fractions 767/538,650/974 is 19175

Greatest Common Factor of 538,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,974 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 538,974 . The biggest common factor number is the GCF number.
So the greatest common factor 538,974 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 767/538, 650/974

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 767/538, 650/974?

Answer: LCM of Numerators as per given numbers 767/538, 650/974 is

LCM of Numerators i.e. for 767,650 is 38350

GCF of denominators i.e. for 538,974 is 2.

Thus, LCM of Fractions is 19175.Finally, LCM of Fractions for 767/538, 650/974 is 19175.