Least Common Multiple of 121/74, 555/99, 340/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 121/74, 555/99, 340/591 quickly i.e. 4566540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 121/74, 555/99, 340/591 is 4566540.

LCM(121/74, 555/99, 340/591) = 4566540

LCM of 121/74, 555/99, 340/591

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 121/74,555/99,340/591

Given numbers are 121/74,555/99,340/591

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 121,555,340

Least Common Multiple of Numerators i.e. LCM of 121,555,340 is 4566540.

GCF of Denominators means GCF of 74,99,591 as per the given fractions.

GCF of 74,99,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 121,555,340

LCM of Fractions 121/74,555/99,340/591 is 4566540

5 121, 555, 340
121, 111, 68

∴ So the LCM of the given numbers is 5 x 121 x 111 x 68 = 4566540

Least Common Multiple of 121,555,340 with GCF Formula

Least Common Multiple of 121,555,340 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 121,555,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,555,340) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(121,555,340) x common factors =1 x 5 = 5

LCM(121,555,340) = ( 121 × 555 × 340 ) / 5

LCM(121,555,340) = 22832700 / 5

LCM(121,555,340) = 4566540


Lets's calculate GCF of 74,99,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4566540/1

Therefore the LCM of Fractions 121/74,555/99,340/591 is 4566540

Greatest Common Factor of 74,99,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,99,591 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 74,99,591 . The biggest common factor number is the GCF number.
So the greatest common factor 74,99,591 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 121/74, 555/99, 340/591

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 121/74, 555/99, 340/591?

Answer: LCM of Numerators as per given numbers 121/74, 555/99, 340/591 is

LCM of Numerators i.e. for 121,555,340 is 4566540

GCF of denominators i.e. for 74,99,591 is 1.

Thus, LCM of Fractions is 4566540.Finally, LCM of Fractions for 121/74, 555/99, 340/591 is 4566540.