Least Common Multiple of 56/687, 52/948, 435/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/687, 52/948, 435/585 quickly i.e. 105560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/687, 52/948, 435/585 is 105560.

LCM(56/687, 52/948, 435/585) = 105560

LCM of 56/687, 52/948, 435/585

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 56/687,52/948,435/585

Given numbers are 56/687,52/948,435/585

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 56,52,435

Least Common Multiple of Numerators i.e. LCM of 56,52,435 is 316680.

GCF of Denominators means GCF of 687,948,585 as per the given fractions.

GCF of 687,948,585 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,52,435

LCM of Fractions 56/687,52/948,435/585 is 105560

2 56, 52, 435
2 28, 26, 435
14, 13, 435

∴ So the LCM of the given numbers is 2 x 2 x 14 x 13 x 435 = 316680

Least Common Multiple of 56,52,435 with GCF Formula

Least Common Multiple of 56,52,435 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 56,52,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,52,435) = 1

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

GCF(56,52,435) x common factors =1 x 4 = 4

LCM(56,52,435) = ( 56 × 52 × 435 ) / 4

LCM(56,52,435) = 1266720 / 4

LCM(56,52,435) = 316680


Lets's calculate GCF of 687,948,585

3 687, 948, 585
229, 316, 195

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316680/3

Therefore the LCM of Fractions 56/687,52/948,435/585 is 105560

Greatest Common Factor of 687,948,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,948,585 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 687,948,585 . The biggest common factor number is the GCF number.
So the greatest common factor 687,948,585 is 3.


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 56/687, 52/948, 435/585

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 56/687, 52/948, 435/585?

Answer: LCM of Numerators as per given numbers 56/687, 52/948, 435/585 is

LCM of Numerators i.e. for 56,52,435 is 316680

GCF of denominators i.e. for 687,948,585 is 3.

Thus, LCM of Fractions is 105560.Finally, LCM of Fractions for 56/687, 52/948, 435/585 is 105560.