Least Common Multiple of 56/532, 84/337, 295/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/532, 84/337, 295/840 quickly i.e. 49560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/532, 84/337, 295/840 is 49560.

LCM(56/532, 84/337, 295/840) = 49560

LCM of 56/532, 84/337, 295/840

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 56/532,84/337,295/840

Given numbers are 56/532,84/337,295/840

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 56,84,295

Least Common Multiple of Numerators i.e. LCM of 56,84,295 is 49560.

GCF of Denominators means GCF of 532,337,840 as per the given fractions.

GCF of 532,337,840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,84,295

LCM of Fractions 56/532,84/337,295/840 is 49560

2 56, 84, 295
2 28, 42, 295
7 14, 21, 295
2, 3, 295

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 3 x 295 = 49560

Least Common Multiple of 56,84,295 with GCF Formula

Least Common Multiple of 56,84,295 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 56,84,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,84,295) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(56,84,295) x common factors =1 x 28 = 28

LCM(56,84,295) = ( 56 × 84 × 295 ) / 28

LCM(56,84,295) = 1387680 / 28

LCM(56,84,295) = 49560


Lets's calculate GCF of 532,337,840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49560/1

Therefore the LCM of Fractions 56/532,84/337,295/840 is 49560

Greatest Common Factor of 532,337,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,337,840 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 532,337,840 . The biggest common factor number is the GCF number.
So the greatest common factor 532,337,840 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 56/532, 84/337, 295/840

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 56/532, 84/337, 295/840?

Answer: LCM of Numerators as per given numbers 56/532, 84/337, 295/840 is

LCM of Numerators i.e. for 56,84,295 is 49560

GCF of denominators i.e. for 532,337,840 is 1.

Thus, LCM of Fractions is 49560.Finally, LCM of Fractions for 56/532, 84/337, 295/840 is 49560.