Least Common Multiple of 18/861, 91/448, 387/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/861, 91/448, 387/479 quickly i.e. 70434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/861, 91/448, 387/479 is 70434.

LCM(18/861, 91/448, 387/479) = 70434

LCM of 18/861, 91/448, 387/479

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 18/861,91/448,387/479

Given numbers are 18/861,91/448,387/479

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 18,91,387

Least Common Multiple of Numerators i.e. LCM of 18,91,387 is 70434.

GCF of Denominators means GCF of 861,448,479 as per the given fractions.

GCF of 861,448,479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,91,387

LCM of Fractions 18/861,91/448,387/479 is 70434

3 18, 91, 387
3 6, 91, 129
2, 91, 43

∴ So the LCM of the given numbers is 3 x 3 x 2 x 91 x 43 = 70434

Least Common Multiple of 18,91,387 with GCF Formula

Least Common Multiple of 18,91,387 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 18,91,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,91,387) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(18,91,387) x common factors =1 x 9 = 9

LCM(18,91,387) = ( 18 × 91 × 387 ) / 9

LCM(18,91,387) = 633906 / 9

LCM(18,91,387) = 70434


Lets's calculate GCF of 861,448,479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70434/1

Therefore the LCM of Fractions 18/861,91/448,387/479 is 70434

Greatest Common Factor of 861,448,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,448,479 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors 861,448,479 . The biggest common factor number is the GCF number.
So the greatest common factor 861,448,479 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 18/861, 91/448, 387/479

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 18/861, 91/448, 387/479?

Answer: LCM of Numerators as per given numbers 18/861, 91/448, 387/479 is

LCM of Numerators i.e. for 18,91,387 is 70434

GCF of denominators i.e. for 861,448,479 is 1.

Thus, LCM of Fractions is 70434.Finally, LCM of Fractions for 18/861, 91/448, 387/479 is 70434.