Least Common Multiple of 544/54, 332/94, 217/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/54, 332/94, 217/387 quickly i.e. 9797984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/54, 332/94, 217/387 is 9797984.

LCM(544/54, 332/94, 217/387) = 9797984

LCM of 544/54, 332/94, 217/387

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 544/54,332/94,217/387

Given numbers are 544/54,332/94,217/387

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 544,332,217

Least Common Multiple of Numerators i.e. LCM of 544,332,217 is 9797984.

GCF of Denominators means GCF of 54,94,387 as per the given fractions.

GCF of 54,94,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,332,217

LCM of Fractions 544/54,332/94,217/387 is 9797984

2 544, 332, 217
2 272, 166, 217
136, 83, 217

∴ So the LCM of the given numbers is 2 x 2 x 136 x 83 x 217 = 9797984

Least Common Multiple of 544,332,217 with GCF Formula

Least Common Multiple of 544,332,217 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 544,332,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,332,217) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(544,332,217) x common factors =1 x 4 = 4

LCM(544,332,217) = ( 544 × 332 × 217 ) / 4

LCM(544,332,217) = 39191936 / 4

LCM(544,332,217) = 9797984


Lets's calculate GCF of 54,94,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9797984/1

Therefore the LCM of Fractions 544/54,332/94,217/387 is 9797984

Greatest Common Factor of 54,94,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,94,387 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 54,94,387 . The biggest common factor number is the GCF number.
So the greatest common factor 54,94,387 is 1.


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 544/54, 332/94, 217/387

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 544/54, 332/94, 217/387?

Answer: LCM of Numerators as per given numbers 544/54, 332/94, 217/387 is

LCM of Numerators i.e. for 544,332,217 is 9797984

GCF of denominators i.e. for 54,94,387 is 1.

Thus, LCM of Fractions is 9797984.Finally, LCM of Fractions for 544/54, 332/94, 217/387 is 9797984.