Least Common Multiple of 546/43, 827/61, 618/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/43, 827/61, 618/380 quickly i.e. 46508826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/43, 827/61, 618/380 is 46508826.

LCM(546/43, 827/61, 618/380) = 46508826

LCM of 546/43, 827/61, 618/380

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 546/43,827/61,618/380

Given numbers are 546/43,827/61,618/380

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 546,827,618

Least Common Multiple of Numerators i.e. LCM of 546,827,618 is 46508826.

GCF of Denominators means GCF of 43,61,380 as per the given fractions.

GCF of 43,61,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,827,618

LCM of Fractions 546/43,827/61,618/380 is 46508826

2 546, 827, 618
3 273, 827, 309
91, 827, 103

∴ So the LCM of the given numbers is 2 x 3 x 91 x 827 x 103 = 46508826

Least Common Multiple of 546,827,618 with GCF Formula

Least Common Multiple of 546,827,618 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 546,827,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,827,618) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(546,827,618) x common factors =1 x 6 = 6

LCM(546,827,618) = ( 546 × 827 × 618 ) / 6

LCM(546,827,618) = 279052956 / 6

LCM(546,827,618) = 46508826


Lets's calculate GCF of 43,61,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46508826/1

Therefore the LCM of Fractions 546/43,827/61,618/380 is 46508826

Greatest Common Factor of 43,61,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,61,380 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 43,61,380 . The biggest common factor number is the GCF number.
So the greatest common factor 43,61,380 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 546/43, 827/61, 618/380

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 546/43, 827/61, 618/380?

Answer: LCM of Numerators as per given numbers 546/43, 827/61, 618/380 is

LCM of Numerators i.e. for 546,827,618 is 46508826

GCF of denominators i.e. for 43,61,380 is 1.

Thus, LCM of Fractions is 46508826.Finally, LCM of Fractions for 546/43, 827/61, 618/380 is 46508826.