Least Common Multiple of 508/684, 768/506, 137/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/684, 768/506, 137/535 quickly i.e. 13362432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/684, 768/506, 137/535 is 13362432.

LCM(508/684, 768/506, 137/535) = 13362432

LCM of 508/684, 768/506, 137/535

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 508/684,768/506,137/535

Given numbers are 508/684,768/506,137/535

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 508,768,137

Least Common Multiple of Numerators i.e. LCM of 508,768,137 is 13362432.

GCF of Denominators means GCF of 684,506,535 as per the given fractions.

GCF of 684,506,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,768,137

LCM of Fractions 508/684,768/506,137/535 is 13362432

2 508, 768, 137
2 254, 384, 137
127, 192, 137

∴ So the LCM of the given numbers is 2 x 2 x 127 x 192 x 137 = 13362432

Least Common Multiple of 508,768,137 with GCF Formula

Least Common Multiple of 508,768,137 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 508,768,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,768,137) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(508,768,137) x common factors =1 x 4 = 4

LCM(508,768,137) = ( 508 × 768 × 137 ) / 4

LCM(508,768,137) = 53449728 / 4

LCM(508,768,137) = 13362432


Lets's calculate GCF of 684,506,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13362432/1

Therefore the LCM of Fractions 508/684,768/506,137/535 is 13362432

Greatest Common Factor of 684,506,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,506,535 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 684,506,535 . The biggest common factor number is the GCF number.
So the greatest common factor 684,506,535 is 1.


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 508/684, 768/506, 137/535

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 508/684, 768/506, 137/535?

Answer: LCM of Numerators as per given numbers 508/684, 768/506, 137/535 is

LCM of Numerators i.e. for 508,768,137 is 13362432

GCF of denominators i.e. for 684,506,535 is 1.

Thus, LCM of Fractions is 13362432.Finally, LCM of Fractions for 508/684, 768/506, 137/535 is 13362432.