Least Common Multiple of 56/71, 84/85, 952/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/71, 84/85, 952/572 quickly i.e. 2856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/71, 84/85, 952/572 is 2856.

LCM(56/71, 84/85, 952/572) = 2856

LCM of 56/71, 84/85, 952/572

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 56/71,84/85,952/572

Given numbers are 56/71,84/85,952/572

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 56,84,952

Least Common Multiple of Numerators i.e. LCM of 56,84,952 is 2856.

GCF of Denominators means GCF of 71,85,572 as per the given fractions.

GCF of 71,85,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,84,952

LCM of Fractions 56/71,84/85,952/572 is 2856

2 56, 84, 952
2 28, 42, 476
2 14, 21, 238
7 7, 21, 119
1, 3, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 3 x 17 = 2856

Least Common Multiple of 56,84,952 with GCF Formula

Least Common Multiple of 56,84,952 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 56,84,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,84,952) = 28

common factors(in case of two or more numbers have common factors) = 56

GCF(56,84,952) x common factors =28 x 56 = 1568

LCM(56,84,952) = ( 56 × 84 × 952 ) / 1568

LCM(56,84,952) = 4478208 / 1568

LCM(56,84,952) = 2856


Lets's calculate GCF of 71,85,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2856/1

Therefore the LCM of Fractions 56/71,84/85,952/572 is 2856

Greatest Common Factor of 71,85,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,85,572 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 71,85,572 . The biggest common factor number is the GCF number.
So the greatest common factor 71,85,572 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 56/71, 84/85, 952/572

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 56/71, 84/85, 952/572?

Answer: LCM of Numerators as per given numbers 56/71, 84/85, 952/572 is

LCM of Numerators i.e. for 56,84,952 is 2856

GCF of denominators i.e. for 71,85,572 is 1.

Thus, LCM of Fractions is 2856.Finally, LCM of Fractions for 56/71, 84/85, 952/572 is 2856.