Least Common Multiple of 41/51, 893/90, 340/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/51, 893/90, 340/281 quickly i.e. 12448420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/51, 893/90, 340/281 is 12448420.

LCM(41/51, 893/90, 340/281) = 12448420

LCM of 41/51, 893/90, 340/281

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 41/51,893/90,340/281

Given numbers are 41/51,893/90,340/281

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 41,893,340

Least Common Multiple of Numerators i.e. LCM of 41,893,340 is 12448420.

GCF of Denominators means GCF of 51,90,281 as per the given fractions.

GCF of 51,90,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,893,340

LCM of Fractions 41/51,893/90,340/281 is 12448420

Given numbers has no common factors except 1. So, there LCM is their product i.e 12448420

Least Common Multiple of 41,893,340 with GCF Formula

Least Common Multiple of 41,893,340 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 41,893,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,893,340) = 1

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

GCF(41,893,340) x common factors =1 x 1 = 1

LCM(41,893,340) = ( 41 × 893 × 340 ) / 1

LCM(41,893,340) = 12448420 / 1

LCM(41,893,340) = 12448420


Lets's calculate GCF of 51,90,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12448420/1

Therefore the LCM of Fractions 41/51,893/90,340/281 is 12448420

Greatest Common Factor of 51,90,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,90,281 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 51,90,281 . The biggest common factor number is the GCF number.
So the greatest common factor 51,90,281 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/51, 893/90, 340/281

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 41/51, 893/90, 340/281?

Answer: LCM of Numerators as per given numbers 41/51, 893/90, 340/281 is

LCM of Numerators i.e. for 41,893,340 is 12448420

GCF of denominators i.e. for 51,90,281 is 1.

Thus, LCM of Fractions is 12448420.Finally, LCM of Fractions for 41/51, 893/90, 340/281 is 12448420.