Least Common Multiple of 57/31, 97/28, 11/39, 32/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/31, 97/28, 11/39, 32/485 quickly i.e. 1946208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/31, 97/28, 11/39, 32/485 is 1946208.

LCM(57/31, 97/28, 11/39, 32/485) = 1946208

LCM of 57/31, 97/28, 11/39, 32/485

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 57/31,97/28,11/39,32/485

Given numbers are 57/31,97/28,11/39,32/485

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 57,97,11,32

Least Common Multiple of Numerators i.e. LCM of 57,97,11,32 is 1946208.

GCF of Denominators means GCF of 31,28,39,485 as per the given fractions.

GCF of 31,28,39,485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,97,11,32

LCM of Fractions 57/31,97/28,11/39,32/485 is 1946208

Given numbers has no common factors except 1. So, there LCM is their product i.e 1946208

Least Common Multiple of 57,97,11,32 with GCF Formula

Least Common Multiple of 57,97,11,32 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 57,97,11,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,97,11,32) = 1

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

GCF(57,97,11,32) x common factors =1 x 1 = 1

LCM(57,97,11,32) = ( 57 × 97 × 11 × 32 ) / 1

LCM(57,97,11,32) = 1946208 / 1

LCM(57,97,11,32) = 1946208


Lets's calculate GCF of 31,28,39,485

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1946208/1

Therefore the LCM of Fractions 57/31,97/28,11/39,32/485 is 1946208

Greatest Common Factor of 31,28,39,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,28,39,485 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 31,28,39,485 . The biggest common factor number is the GCF number.
So the greatest common factor 31,28,39,485 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 57/31, 97/28, 11/39, 32/485

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 57/31, 97/28, 11/39, 32/485?

Answer: LCM of Numerators as per given numbers 57/31, 97/28, 11/39, 32/485 is

LCM of Numerators i.e. for 57,97,11,32 is 1946208

GCF of denominators i.e. for 31,28,39,485 is 1.

Thus, LCM of Fractions is 1946208.Finally, LCM of Fractions for 57/31, 97/28, 11/39, 32/485 is 1946208.