Least Common Multiple of 97/53, 78/21, 57/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/53, 78/21, 57/684 quickly i.e. 143754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/53, 78/21, 57/684 is 143754.

LCM(97/53, 78/21, 57/684) = 143754

LCM of 97/53, 78/21, 57/684

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 97/53,78/21,57/684

Given numbers are 97/53,78/21,57/684

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 97,78,57

Least Common Multiple of Numerators i.e. LCM of 97,78,57 is 143754.

GCF of Denominators means GCF of 53,21,684 as per the given fractions.

GCF of 53,21,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,78,57

LCM of Fractions 97/53,78/21,57/684 is 143754

3 97, 78, 57
97, 26, 19

∴ So the LCM of the given numbers is 3 x 97 x 26 x 19 = 143754

Least Common Multiple of 97,78,57 with GCF Formula

Least Common Multiple of 97,78,57 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 97,78,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,78,57) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(97,78,57) x common factors =1 x 3 = 3

LCM(97,78,57) = ( 97 × 78 × 57 ) / 3

LCM(97,78,57) = 431262 / 3

LCM(97,78,57) = 143754


Lets's calculate GCF of 53,21,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143754/1

Therefore the LCM of Fractions 97/53,78/21,57/684 is 143754

Greatest Common Factor of 53,21,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,21,684 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 53,21,684 . The biggest common factor number is the GCF number.
So the greatest common factor 53,21,684 is 1.


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 97/53, 78/21, 57/684

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 97/53, 78/21, 57/684?

Answer: LCM of Numerators as per given numbers 97/53, 78/21, 57/684 is

LCM of Numerators i.e. for 97,78,57 is 143754

GCF of denominators i.e. for 53,21,684 is 1.

Thus, LCM of Fractions is 143754.Finally, LCM of Fractions for 97/53, 78/21, 57/684 is 143754.