Least Common Multiple of 56/280, 97/941, 679/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/280, 97/941, 679/747 quickly i.e. 5432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/280, 97/941, 679/747 is 5432.

LCM(56/280, 97/941, 679/747) = 5432

LCM of 56/280, 97/941, 679/747

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 56/280,97/941,679/747

Given numbers are 56/280,97/941,679/747

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 56,97,679

Least Common Multiple of Numerators i.e. LCM of 56,97,679 is 5432.

GCF of Denominators means GCF of 280,941,747 as per the given fractions.

GCF of 280,941,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,97,679

LCM of Fractions 56/280,97/941,679/747 is 5432

7 56, 97, 679
97 8, 97, 97
8, 1, 1

∴ So the LCM of the given numbers is 7 x 97 x 8 x 1 x 1 = 5432

Least Common Multiple of 56,97,679 with GCF Formula

Least Common Multiple of 56,97,679 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 56,97,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,97,679) = 1

common factors(in case of two or more numbers have common factors) = 679

GCF(56,97,679) x common factors =1 x 679 = 679

LCM(56,97,679) = ( 56 × 97 × 679 ) / 679

LCM(56,97,679) = 3688328 / 679

LCM(56,97,679) = 5432


Lets's calculate GCF of 280,941,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5432/1

Therefore the LCM of Fractions 56/280,97/941,679/747 is 5432

Greatest Common Factor of 280,941,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,941,747 By Matching Biggest Common Factor Method

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

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 280,941,747 . The biggest common factor number is the GCF number.
So the greatest common factor 280,941,747 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 56/280, 97/941, 679/747

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 56/280, 97/941, 679/747?

Answer: LCM of Numerators as per given numbers 56/280, 97/941, 679/747 is

LCM of Numerators i.e. for 56,97,679 is 5432

GCF of denominators i.e. for 280,941,747 is 1.

Thus, LCM of Fractions is 5432.Finally, LCM of Fractions for 56/280, 97/941, 679/747 is 5432.