Least Common Multiple of 461/76, 951/18, 544/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/76, 951/18, 544/406 quickly i.e. 119247792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/76, 951/18, 544/406 is 119247792.

LCM(461/76, 951/18, 544/406) = 119247792

LCM of 461/76, 951/18, 544/406

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 461/76,951/18,544/406

Given numbers are 461/76,951/18,544/406

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 461,951,544

Least Common Multiple of Numerators i.e. LCM of 461,951,544 is 238495584.

GCF of Denominators means GCF of 76,18,406 as per the given fractions.

GCF of 76,18,406 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,951,544

LCM of Fractions 461/76,951/18,544/406 is 119247792

Given numbers has no common factors except 1. So, there LCM is their product i.e 238495584

Least Common Multiple of 461,951,544 with GCF Formula

Least Common Multiple of 461,951,544 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 461,951,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,951,544) = 1

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

GCF(461,951,544) x common factors =1 x 1 = 1

LCM(461,951,544) = ( 461 × 951 × 544 ) / 1

LCM(461,951,544) = 238495584 / 1

LCM(461,951,544) = 238495584


Lets's calculate GCF of 76,18,406

2 76, 18, 406
38, 9, 203

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238495584/2

Therefore the LCM of Fractions 461/76,951/18,544/406 is 119247792

Greatest Common Factor of 76,18,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,18,406 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 76,18,406 . The biggest common factor number is the GCF number.
So the greatest common factor 76,18,406 is 2.


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 461/76, 951/18, 544/406

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 461/76, 951/18, 544/406?

Answer: LCM of Numerators as per given numbers 461/76, 951/18, 544/406 is

LCM of Numerators i.e. for 461,951,544 is 238495584

GCF of denominators i.e. for 76,18,406 is 2.

Thus, LCM of Fractions is 119247792.Finally, LCM of Fractions for 461/76, 951/18, 544/406 is 119247792.