Least Common Multiple of 56/518, 759/952, 381/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/518, 759/952, 381/894 quickly i.e. 2699004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/518, 759/952, 381/894 is 2699004.

LCM(56/518, 759/952, 381/894) = 2699004

LCM of 56/518, 759/952, 381/894

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 56/518,759/952,381/894

Given numbers are 56/518,759/952,381/894

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 56,759,381

Least Common Multiple of Numerators i.e. LCM of 56,759,381 is 5398008.

GCF of Denominators means GCF of 518,952,894 as per the given fractions.

GCF of 518,952,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,759,381

LCM of Fractions 56/518,759/952,381/894 is 2699004

3 56, 759, 381
56, 253, 127

∴ So the LCM of the given numbers is 3 x 56 x 253 x 127 = 5398008

Least Common Multiple of 56,759,381 with GCF Formula

Least Common Multiple of 56,759,381 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 56,759,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,759,381) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(56,759,381) x common factors =1 x 3 = 3

LCM(56,759,381) = ( 56 × 759 × 381 ) / 3

LCM(56,759,381) = 16194024 / 3

LCM(56,759,381) = 5398008


Lets's calculate GCF of 518,952,894

2 518, 952, 894
259, 476, 447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5398008/2

Therefore the LCM of Fractions 56/518,759/952,381/894 is 2699004

Greatest Common Factor of 518,952,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,952,894 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 518,952,894 . The biggest common factor number is the GCF number.
So the greatest common factor 518,952,894 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 56/518, 759/952, 381/894

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 56/518, 759/952, 381/894?

Answer: LCM of Numerators as per given numbers 56/518, 759/952, 381/894 is

LCM of Numerators i.e. for 56,759,381 is 5398008

GCF of denominators i.e. for 518,952,894 is 2.

Thus, LCM of Fractions is 2699004.Finally, LCM of Fractions for 56/518, 759/952, 381/894 is 2699004.