Least Common Multiple of 56/128, 18/420, 744/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/128, 18/420, 744/415 quickly i.e. 15624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/128, 18/420, 744/415 is 15624.

LCM(56/128, 18/420, 744/415) = 15624

LCM of 56/128, 18/420, 744/415

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 56/128,18/420,744/415

Given numbers are 56/128,18/420,744/415

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 56,18,744

Least Common Multiple of Numerators i.e. LCM of 56,18,744 is 15624.

GCF of Denominators means GCF of 128,420,415 as per the given fractions.

GCF of 128,420,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,18,744

LCM of Fractions 56/128,18/420,744/415 is 15624

2 56, 18, 744
2 28, 9, 372
2 14, 9, 186
3 7, 9, 93
7, 3, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 3 x 31 = 15624

Least Common Multiple of 56,18,744 with GCF Formula

Least Common Multiple of 56,18,744 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 56,18,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,18,744) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(56,18,744) x common factors =2 x 24 = 48

LCM(56,18,744) = ( 56 × 18 × 744 ) / 48

LCM(56,18,744) = 749952 / 48

LCM(56,18,744) = 15624


Lets's calculate GCF of 128,420,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15624/1

Therefore the LCM of Fractions 56/128,18/420,744/415 is 15624

Greatest Common Factor of 128,420,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,420,415 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 128,420,415 . The biggest common factor number is the GCF number.
So the greatest common factor 128,420,415 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 56/128, 18/420, 744/415

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 56/128, 18/420, 744/415?

Answer: LCM of Numerators as per given numbers 56/128, 18/420, 744/415 is

LCM of Numerators i.e. for 56,18,744 is 15624

GCF of denominators i.e. for 128,420,415 is 1.

Thus, LCM of Fractions is 15624.Finally, LCM of Fractions for 56/128, 18/420, 744/415 is 15624.