Least Common Multiple of 41/291, 621/269, 920/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/291, 621/269, 920/760 quickly i.e. 1018440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/291, 621/269, 920/760 is 1018440.

LCM(41/291, 621/269, 920/760) = 1018440

LCM of 41/291, 621/269, 920/760

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 41/291,621/269,920/760

Given numbers are 41/291,621/269,920/760

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 41,621,920

Least Common Multiple of Numerators i.e. LCM of 41,621,920 is 1018440.

GCF of Denominators means GCF of 291,269,760 as per the given fractions.

GCF of 291,269,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,621,920

LCM of Fractions 41/291,621/269,920/760 is 1018440

23 41, 621, 920
41, 27, 40

∴ So the LCM of the given numbers is 23 x 41 x 27 x 40 = 1018440

Least Common Multiple of 41,621,920 with GCF Formula

Least Common Multiple of 41,621,920 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 41,621,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,621,920) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(41,621,920) x common factors =1 x 23 = 23

LCM(41,621,920) = ( 41 × 621 × 920 ) / 23

LCM(41,621,920) = 23424120 / 23

LCM(41,621,920) = 1018440


Lets's calculate GCF of 291,269,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1018440/1

Therefore the LCM of Fractions 41/291,621/269,920/760 is 1018440

Greatest Common Factor of 291,269,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,269,760 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 291,269,760 . The biggest common factor number is the GCF number.
So the greatest common factor 291,269,760 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/291, 621/269, 920/760

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 41/291, 621/269, 920/760?

Answer: LCM of Numerators as per given numbers 41/291, 621/269, 920/760 is

LCM of Numerators i.e. for 41,621,920 is 1018440

GCF of denominators i.e. for 291,269,760 is 1.

Thus, LCM of Fractions is 1018440.Finally, LCM of Fractions for 41/291, 621/269, 920/760 is 1018440.