Least Common Multiple of 288/56, 743/2928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/56, 743/2928 quickly i.e. 26748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/56, 743/2928 is 26748.

LCM(288/56, 743/2928) = 26748

LCM of 288/56, 743/2928

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 288/56,743/2928

Given numbers are 288/56,743/2928

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 288,743

Least Common Multiple of Numerators i.e. LCM of 288,743 is 213984.

GCF of Denominators means GCF of 56,2928 as per the given fractions.

GCF of 56,2928 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,743

LCM of Fractions 288/56,743/2928 is 26748

Given numbers has no common factors except 1. So, there LCM is their product i.e 213984

Least Common Multiple of 288,743 with GCF Formula

Least Common Multiple of 288,743 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 288,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,743) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(288,743) x common factors =1 x 1 = 1

LCM(288,743) = ( 288 × 743 ) / 1

LCM(288,743) = 213984 / 1

LCM(288,743) = 213984


Lets's calculate GCF of 56,2928

2 56, 2928
2 28, 1464
2 14, 732
7, 366

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213984/8

Therefore the LCM of Fractions 288/56,743/2928 is 26748

Greatest Common Factor of 56,2928 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,2928 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 2928

List of positive integer factors of 2928 that divides 2928 without a remainder.

1,2,3,4,6,8,12,16,24,48,61,122,183,244,366,488,732,976,1464,2928

Greatest Common Factor

We found the factors 56,2928 . The biggest common factor number is the GCF number.
So the greatest common factor 56,2928 is 8.


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 288/56, 743/2928

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 288/56, 743/2928?

Answer: LCM of Numerators as per given numbers 288/56, 743/2928 is

LCM of Numerators i.e. for 288,743 is 213984

GCF of denominators i.e. for 56,2928 is 8.

Thus, LCM of Fractions is 26748.Finally, LCM of Fractions for 288/56, 743/2928 is 26748.