Least Common Multiple of 124/96, 893/1564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 124/96, 893/1564 quickly i.e. 27683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 124/96, 893/1564 is 27683.

LCM(124/96, 893/1564) = 27683

LCM of 124/96, 893/1564

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 124/96,893/1564

Given numbers are 124/96,893/1564

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 124,893

Least Common Multiple of Numerators i.e. LCM of 124,893 is 110732.

GCF of Denominators means GCF of 96,1564 as per the given fractions.

GCF of 96,1564 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 124,893

LCM of Fractions 124/96,893/1564 is 27683

Given numbers has no common factors except 1. So, there LCM is their product i.e 110732

Least Common Multiple of 124,893 with GCF Formula

Least Common Multiple of 124,893 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 124,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,893) = 1

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

GCF(124,893) x common factors =1 x 1 = 1

LCM(124,893) = ( 124 × 893 ) / 1

LCM(124,893) = 110732 / 1

LCM(124,893) = 110732


Lets's calculate GCF of 96,1564

2 96, 1564
2 48, 782
24, 391

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110732/4

Therefore the LCM of Fractions 124/96,893/1564 is 27683

Greatest Common Factor of 96,1564 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,1564 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1,2,4,17,23,34,46,68,92,391,782,1564

Greatest Common Factor

We found the factors 96,1564 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1564 is 4.


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 124/96, 893/1564

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 124/96, 893/1564?

Answer: LCM of Numerators as per given numbers 124/96, 893/1564 is

LCM of Numerators i.e. for 124,893 is 110732

GCF of denominators i.e. for 96,1564 is 4.

Thus, LCM of Fractions is 27683.Finally, LCM of Fractions for 124/96, 893/1564 is 27683.