Least Common Multiple of 57/961, 28/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/961, 28/403 quickly i.e. 1596/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/961, 28/403 is 1596/31.

LCM(57/961, 28/403) = 1596/31

LCM of 57/961, 28/403

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 57/961,28/403

Given numbers are 57/961,28/403

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 57,28

Least Common Multiple of Numerators i.e. LCM of 57,28 is 1596.

GCF of Denominators means GCF of 961,403 as per the given fractions.

GCF of 961,403 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,28

LCM of Fractions 57/961,28/403 is 1596/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 1596

Least Common Multiple of 57,28 with GCF Formula

Least Common Multiple of 57,28 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 57,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,28) = 1

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

GCF(57,28) x common factors =1 x 1 = 1

LCM(57,28) = ( 57 × 28 ) / 1

LCM(57,28) = 1596 / 1

LCM(57,28) = 1596


Lets's calculate GCF of 961,403

31 961, 403
31, 13

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1596/31

Therefore the LCM of Fractions 57/961,28/403 is 1596/31

Greatest Common Factor of 961,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,403 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 961,403 . The biggest common factor number is the GCF number.
So the greatest common factor 961,403 is 31.


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 57/961, 28/403

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 57/961, 28/403?

Answer: LCM of Numerators as per given numbers 57/961, 28/403 is

LCM of Numerators i.e. for 57,28 is 1596

GCF of denominators i.e. for 961,403 is 31.

Thus, LCM of Fractions is 1596/31.Finally, LCM of Fractions for 57/961, 28/403 is 1596/31.