Least Common Multiple of 97/68, 35/72, 68/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/68, 35/72, 68/872 quickly i.e. 57715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/68, 35/72, 68/872 is 57715.

LCM(97/68, 35/72, 68/872) = 57715

LCM of 97/68, 35/72, 68/872

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 97/68,35/72,68/872

Given numbers are 97/68,35/72,68/872

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 97,35,68

Least Common Multiple of Numerators i.e. LCM of 97,35,68 is 230860.

GCF of Denominators means GCF of 68,72,872 as per the given fractions.

GCF of 68,72,872 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,35,68

LCM of Fractions 97/68,35/72,68/872 is 57715

Given numbers has no common factors except 1. So, there LCM is their product i.e 230860

Least Common Multiple of 97,35,68 with GCF Formula

Least Common Multiple of 97,35,68 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 97,35,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,35,68) = 1

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

GCF(97,35,68) x common factors =1 x 1 = 1

LCM(97,35,68) = ( 97 × 35 × 68 ) / 1

LCM(97,35,68) = 230860 / 1

LCM(97,35,68) = 230860


Lets's calculate GCF of 68,72,872

2 68, 72, 872
2 34, 36, 436
17, 18, 218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230860/4

Therefore the LCM of Fractions 97/68,35/72,68/872 is 57715

Greatest Common Factor of 68,72,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,72,872 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 68,72,872 . The biggest common factor number is the GCF number.
So the greatest common factor 68,72,872 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 97/68, 35/72, 68/872

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 97/68, 35/72, 68/872?

Answer: LCM of Numerators as per given numbers 97/68, 35/72, 68/872 is

LCM of Numerators i.e. for 97,35,68 is 230860

GCF of denominators i.e. for 68,72,872 is 4.

Thus, LCM of Fractions is 57715.Finally, LCM of Fractions for 97/68, 35/72, 68/872 is 57715.