Least Common Multiple of 98/40, 340/79, 132/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/40, 340/79, 132/397 quickly i.e. 549780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/40, 340/79, 132/397 is 549780.

LCM(98/40, 340/79, 132/397) = 549780

LCM of 98/40, 340/79, 132/397

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 98/40,340/79,132/397

Given numbers are 98/40,340/79,132/397

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 98,340,132

Least Common Multiple of Numerators i.e. LCM of 98,340,132 is 549780.

GCF of Denominators means GCF of 40,79,397 as per the given fractions.

GCF of 40,79,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,340,132

LCM of Fractions 98/40,340/79,132/397 is 549780

2 98, 340, 132
2 49, 170, 66
49, 85, 33

∴ So the LCM of the given numbers is 2 x 2 x 49 x 85 x 33 = 549780

Least Common Multiple of 98,340,132 with GCF Formula

Least Common Multiple of 98,340,132 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 98,340,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,340,132) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(98,340,132) x common factors =2 x 4 = 8

LCM(98,340,132) = ( 98 × 340 × 132 ) / 8

LCM(98,340,132) = 4398240 / 8

LCM(98,340,132) = 549780


Lets's calculate GCF of 40,79,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 549780/1

Therefore the LCM of Fractions 98/40,340/79,132/397 is 549780

Greatest Common Factor of 40,79,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,79,397 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 40,79,397 . The biggest common factor number is the GCF number.
So the greatest common factor 40,79,397 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 98/40, 340/79, 132/397

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 98/40, 340/79, 132/397?

Answer: LCM of Numerators as per given numbers 98/40, 340/79, 132/397 is

LCM of Numerators i.e. for 98,340,132 is 549780

GCF of denominators i.e. for 40,79,397 is 1.

Thus, LCM of Fractions is 549780.Finally, LCM of Fractions for 98/40, 340/79, 132/397 is 549780.