Least Common Multiple of 56/467, 378/710, 872/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/467, 378/710, 872/416 quickly i.e. 164808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/467, 378/710, 872/416 is 164808.

LCM(56/467, 378/710, 872/416) = 164808

LCM of 56/467, 378/710, 872/416

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 56/467,378/710,872/416

Given numbers are 56/467,378/710,872/416

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 56,378,872

Least Common Multiple of Numerators i.e. LCM of 56,378,872 is 164808.

GCF of Denominators means GCF of 467,710,416 as per the given fractions.

GCF of 467,710,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,378,872

LCM of Fractions 56/467,378/710,872/416 is 164808

2 56, 378, 872
2 28, 189, 436
2 14, 189, 218
7 7, 189, 109
1, 27, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 27 x 109 = 164808

Least Common Multiple of 56,378,872 with GCF Formula

Least Common Multiple of 56,378,872 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 56,378,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,378,872) = 2

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

GCF(56,378,872) x common factors =2 x 56 = 112

LCM(56,378,872) = ( 56 × 378 × 872 ) / 112

LCM(56,378,872) = 18458496 / 112

LCM(56,378,872) = 164808


Lets's calculate GCF of 467,710,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164808/1

Therefore the LCM of Fractions 56/467,378/710,872/416 is 164808

Greatest Common Factor of 467,710,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,710,416 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 467,710,416 . The biggest common factor number is the GCF number.
So the greatest common factor 467,710,416 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 56/467, 378/710, 872/416

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 56/467, 378/710, 872/416?

Answer: LCM of Numerators as per given numbers 56/467, 378/710, 872/416 is

LCM of Numerators i.e. for 56,378,872 is 164808

GCF of denominators i.e. for 467,710,416 is 1.

Thus, LCM of Fractions is 164808.Finally, LCM of Fractions for 56/467, 378/710, 872/416 is 164808.