Least Common Multiple of 41/540, 331/93, 152/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/540, 331/93, 152/892 quickly i.e. 2062792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/540, 331/93, 152/892 is 2062792.

LCM(41/540, 331/93, 152/892) = 2062792

LCM of 41/540, 331/93, 152/892

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 41/540,331/93,152/892

Given numbers are 41/540,331/93,152/892

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 41,331,152

Least Common Multiple of Numerators i.e. LCM of 41,331,152 is 2062792.

GCF of Denominators means GCF of 540,93,892 as per the given fractions.

GCF of 540,93,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,331,152

LCM of Fractions 41/540,331/93,152/892 is 2062792

Given numbers has no common factors except 1. So, there LCM is their product i.e 2062792

Least Common Multiple of 41,331,152 with GCF Formula

Least Common Multiple of 41,331,152 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 41,331,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,331,152) = 1

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

GCF(41,331,152) x common factors =1 x 1 = 1

LCM(41,331,152) = ( 41 × 331 × 152 ) / 1

LCM(41,331,152) = 2062792 / 1

LCM(41,331,152) = 2062792


Lets's calculate GCF of 540,93,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2062792/1

Therefore the LCM of Fractions 41/540,331/93,152/892 is 2062792

Greatest Common Factor of 540,93,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,93,892 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 540,93,892 . The biggest common factor number is the GCF number.
So the greatest common factor 540,93,892 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 41/540, 331/93, 152/892

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 41/540, 331/93, 152/892?

Answer: LCM of Numerators as per given numbers 41/540, 331/93, 152/892 is

LCM of Numerators i.e. for 41,331,152 is 2062792

GCF of denominators i.e. for 540,93,892 is 1.

Thus, LCM of Fractions is 2062792.Finally, LCM of Fractions for 41/540, 331/93, 152/892 is 2062792.