Least Common Multiple of 57/724, 1777/9768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/724, 1777/9768 quickly i.e. 101289/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/724, 1777/9768 is 101289/4.

LCM(57/724, 1777/9768) = 101289/4

LCM of 57/724, 1777/9768

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 57/724,1777/9768

Given numbers are 57/724,1777/9768

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 57,1777

Least Common Multiple of Numerators i.e. LCM of 57,1777 is 101289.

GCF of Denominators means GCF of 724,9768 as per the given fractions.

GCF of 724,9768 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,1777

LCM of Fractions 57/724,1777/9768 is 101289/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 101289

Least Common Multiple of 57,1777 with GCF Formula

Least Common Multiple of 57,1777 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 57,1777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,1777) = 1

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

GCF(57,1777) x common factors =1 x 1 = 1

LCM(57,1777) = ( 57 × 1777 ) / 1

LCM(57,1777) = 101289 / 1

LCM(57,1777) = 101289


Lets's calculate GCF of 724,9768

2 724, 9768
2 362, 4884
181, 2442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101289/4

Therefore the LCM of Fractions 57/724,1777/9768 is 101289/4

Greatest Common Factor of 724,9768 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,9768 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 9768

List of positive integer factors of 9768 that divides 9768 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768

Greatest Common Factor

We found the factors 724,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 724,9768 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 57/724, 1777/9768

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 57/724, 1777/9768?

Answer: LCM of Numerators as per given numbers 57/724, 1777/9768 is

LCM of Numerators i.e. for 57,1777 is 101289

GCF of denominators i.e. for 724,9768 is 4.

Thus, LCM of Fractions is 101289/4.Finally, LCM of Fractions for 57/724, 1777/9768 is 101289/4.