Least Common Multiple of 278/40, 189/3564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/40, 189/3564 quickly i.e. 52542/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/40, 189/3564 is 52542/4.

LCM(278/40, 189/3564) = 52542/4

LCM of 278/40, 189/3564

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 278/40,189/3564

Given numbers are 278/40,189/3564

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 278,189

Least Common Multiple of Numerators i.e. LCM of 278,189 is 52542.

GCF of Denominators means GCF of 40,3564 as per the given fractions.

GCF of 40,3564 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,189

LCM of Fractions 278/40,189/3564 is 52542/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 52542

Least Common Multiple of 278,189 with GCF Formula

Least Common Multiple of 278,189 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 278,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,189) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(278,189) x common factors =1 x 1 = 1

LCM(278,189) = ( 278 × 189 ) / 1

LCM(278,189) = 52542 / 1

LCM(278,189) = 52542


Lets's calculate GCF of 40,3564

2 40, 3564
2 20, 1782
10, 891

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52542/4

Therefore the LCM of Fractions 278/40,189/3564 is 52542/4

Greatest Common Factor of 40,3564 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,3564 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 3564

List of positive integer factors of 3564 that divides 3564 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564

Greatest Common Factor

We found the factors 40,3564 . The biggest common factor number is the GCF number.
So the greatest common factor 40,3564 is 4.


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 278/40, 189/3564

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 278/40, 189/3564?

Answer: LCM of Numerators as per given numbers 278/40, 189/3564 is

LCM of Numerators i.e. for 278,189 is 52542

GCF of denominators i.e. for 40,3564 is 4.

Thus, LCM of Fractions is 52542/4.Finally, LCM of Fractions for 278/40, 189/3564 is 52542/4.