Least Common Multiple of 324/534, 991/938, 220/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/534, 991/938, 220/375 quickly i.e. 17659620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/534, 991/938, 220/375 is 17659620.

LCM(324/534, 991/938, 220/375) = 17659620

LCM of 324/534, 991/938, 220/375

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 324/534,991/938,220/375

Given numbers are 324/534,991/938,220/375

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 324,991,220

Least Common Multiple of Numerators i.e. LCM of 324,991,220 is 17659620.

GCF of Denominators means GCF of 534,938,375 as per the given fractions.

GCF of 534,938,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,991,220

LCM of Fractions 324/534,991/938,220/375 is 17659620

2 324, 991, 220
2 162, 991, 110
81, 991, 55

∴ So the LCM of the given numbers is 2 x 2 x 81 x 991 x 55 = 17659620

Least Common Multiple of 324,991,220 with GCF Formula

Least Common Multiple of 324,991,220 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 324,991,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,991,220) = 1

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

GCF(324,991,220) x common factors =1 x 4 = 4

LCM(324,991,220) = ( 324 × 991 × 220 ) / 4

LCM(324,991,220) = 70638480 / 4

LCM(324,991,220) = 17659620


Lets's calculate GCF of 534,938,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17659620/1

Therefore the LCM of Fractions 324/534,991/938,220/375 is 17659620

Greatest Common Factor of 534,938,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,938,375 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 534,938,375 . The biggest common factor number is the GCF number.
So the greatest common factor 534,938,375 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 324/534, 991/938, 220/375

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 324/534, 991/938, 220/375?

Answer: LCM of Numerators as per given numbers 324/534, 991/938, 220/375 is

LCM of Numerators i.e. for 324,991,220 is 17659620

GCF of denominators i.e. for 534,938,375 is 1.

Thus, LCM of Fractions is 17659620.Finally, LCM of Fractions for 324/534, 991/938, 220/375 is 17659620.