Least Common Multiple of 721/124, 1219/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/124, 1219/760 quickly i.e. 878899/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/124, 1219/760 is 878899/4.

LCM(721/124, 1219/760) = 878899/4

LCM of 721/124, 1219/760

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 721/124,1219/760

Given numbers are 721/124,1219/760

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 721,1219

Least Common Multiple of Numerators i.e. LCM of 721,1219 is 878899.

GCF of Denominators means GCF of 124,760 as per the given fractions.

GCF of 124,760 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,1219

LCM of Fractions 721/124,1219/760 is 878899/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 878899

Least Common Multiple of 721,1219 with GCF Formula

Least Common Multiple of 721,1219 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 721,1219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,1219) = 1

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

GCF(721,1219) x common factors =1 x 1 = 1

LCM(721,1219) = ( 721 × 1219 ) / 1

LCM(721,1219) = 878899 / 1

LCM(721,1219) = 878899


Lets's calculate GCF of 124,760

2 124, 760
2 62, 380
31, 190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 878899/4

Therefore the LCM of Fractions 721/124,1219/760 is 878899/4

Greatest Common Factor of 124,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,760 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 124,760 . The biggest common factor number is the GCF number.
So the greatest common factor 124,760 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 721/124, 1219/760

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 721/124, 1219/760?

Answer: LCM of Numerators as per given numbers 721/124, 1219/760 is

LCM of Numerators i.e. for 721,1219 is 878899

GCF of denominators i.e. for 124,760 is 4.

Thus, LCM of Fractions is 878899/4.Finally, LCM of Fractions for 721/124, 1219/760 is 878899/4.