Least Common Multiple of 56/294, 81/924, 432/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/294, 81/924, 432/280 quickly i.e. 648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/294, 81/924, 432/280 is 648.

LCM(56/294, 81/924, 432/280) = 648

LCM of 56/294, 81/924, 432/280

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 56/294,81/924,432/280

Given numbers are 56/294,81/924,432/280

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 56,81,432

Least Common Multiple of Numerators i.e. LCM of 56,81,432 is 9072.

GCF of Denominators means GCF of 294,924,280 as per the given fractions.

GCF of 294,924,280 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,81,432

LCM of Fractions 56/294,81/924,432/280 is 648

2 56, 81, 432
2 28, 81, 216
2 14, 81, 108
3 7, 81, 54
3 7, 27, 18
3 7, 9, 6
7, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 7 x 3 x 2 = 9072

Least Common Multiple of 56,81,432 with GCF Formula

Least Common Multiple of 56,81,432 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 56,81,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,81,432) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(56,81,432) x common factors =1 x 216 = 216

LCM(56,81,432) = ( 56 × 81 × 432 ) / 216

LCM(56,81,432) = 1959552 / 216

LCM(56,81,432) = 9072


Lets's calculate GCF of 294,924,280

2 294, 924, 280
7 147, 462, 140
21, 66, 20

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9072/14

Therefore the LCM of Fractions 56/294,81/924,432/280 is 648

Greatest Common Factor of 294,924,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,924,280 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 294,924,280 . The biggest common factor number is the GCF number.
So the greatest common factor 294,924,280 is 14.


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 56/294, 81/924, 432/280

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 56/294, 81/924, 432/280?

Answer: LCM of Numerators as per given numbers 56/294, 81/924, 432/280 is

LCM of Numerators i.e. for 56,81,432 is 9072

GCF of denominators i.e. for 294,924,280 is 14.

Thus, LCM of Fractions is 648.Finally, LCM of Fractions for 56/294, 81/924, 432/280 is 648.