Least Common Multiple of 97/95, 420/12, 280/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/95, 420/12, 280/898 quickly i.e. 81480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/95, 420/12, 280/898 is 81480.

LCM(97/95, 420/12, 280/898) = 81480

LCM of 97/95, 420/12, 280/898

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 97/95,420/12,280/898

Given numbers are 97/95,420/12,280/898

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 97,420,280

Least Common Multiple of Numerators i.e. LCM of 97,420,280 is 81480.

GCF of Denominators means GCF of 95,12,898 as per the given fractions.

GCF of 95,12,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,420,280

LCM of Fractions 97/95,420/12,280/898 is 81480

2 97, 420, 280
2 97, 210, 140
5 97, 105, 70
7 97, 21, 14
97, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 97 x 3 x 2 = 81480

Least Common Multiple of 97,420,280 with GCF Formula

Least Common Multiple of 97,420,280 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 97,420,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,420,280) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(97,420,280) x common factors =1 x 140 = 140

LCM(97,420,280) = ( 97 × 420 × 280 ) / 140

LCM(97,420,280) = 11407200 / 140

LCM(97,420,280) = 81480


Lets's calculate GCF of 95,12,898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81480/1

Therefore the LCM of Fractions 97/95,420/12,280/898 is 81480

Greatest Common Factor of 95,12,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,12,898 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 95,12,898 . The biggest common factor number is the GCF number.
So the greatest common factor 95,12,898 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 97/95, 420/12, 280/898

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 97/95, 420/12, 280/898?

Answer: LCM of Numerators as per given numbers 97/95, 420/12, 280/898 is

LCM of Numerators i.e. for 97,420,280 is 81480

GCF of denominators i.e. for 95,12,898 is 1.

Thus, LCM of Fractions is 81480.Finally, LCM of Fractions for 97/95, 420/12, 280/898 is 81480.