Least Common Multiple of 72/97, 987/85, 893/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/97, 987/85, 893/280 quickly i.e. 450072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/97, 987/85, 893/280 is 450072.

LCM(72/97, 987/85, 893/280) = 450072

LCM of 72/97, 987/85, 893/280

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 72/97,987/85,893/280

Given numbers are 72/97,987/85,893/280

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 72,987,893

Least Common Multiple of Numerators i.e. LCM of 72,987,893 is 450072.

GCF of Denominators means GCF of 97,85,280 as per the given fractions.

GCF of 97,85,280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,987,893

LCM of Fractions 72/97,987/85,893/280 is 450072

3 72, 987, 893
47 24, 329, 893
24, 7, 19

∴ So the LCM of the given numbers is 3 x 47 x 24 x 7 x 19 = 450072

Least Common Multiple of 72,987,893 with GCF Formula

Least Common Multiple of 72,987,893 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 72,987,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,987,893) = 1

common factors(in case of two or more numbers have common factors) = 141

GCF(72,987,893) x common factors =1 x 141 = 141

LCM(72,987,893) = ( 72 × 987 × 893 ) / 141

LCM(72,987,893) = 63460152 / 141

LCM(72,987,893) = 450072


Lets's calculate GCF of 97,85,280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450072/1

Therefore the LCM of Fractions 72/97,987/85,893/280 is 450072

Greatest Common Factor of 97,85,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,85,280 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 97,85,280 . The biggest common factor number is the GCF number.
So the greatest common factor 97,85,280 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 72/97, 987/85, 893/280

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 72/97, 987/85, 893/280?

Answer: LCM of Numerators as per given numbers 72/97, 987/85, 893/280 is

LCM of Numerators i.e. for 72,987,893 is 450072

GCF of denominators i.e. for 97,85,280 is 1.

Thus, LCM of Fractions is 450072.Finally, LCM of Fractions for 72/97, 987/85, 893/280 is 450072.