Least Common Multiple of 481/906, 655/727, 972/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 481/906, 655/727, 972/164 quickly i.e. 306233460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 481/906, 655/727, 972/164 is 306233460.

LCM(481/906, 655/727, 972/164) = 306233460

LCM of 481/906, 655/727, 972/164

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 481/906,655/727,972/164

Given numbers are 481/906,655/727,972/164

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 481,655,972

Least Common Multiple of Numerators i.e. LCM of 481,655,972 is 306233460.

GCF of Denominators means GCF of 906,727,164 as per the given fractions.

GCF of 906,727,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 481,655,972

LCM of Fractions 481/906,655/727,972/164 is 306233460

Given numbers has no common factors except 1. So, there LCM is their product i.e 306233460

Least Common Multiple of 481,655,972 with GCF Formula

Least Common Multiple of 481,655,972 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 481,655,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,655,972) = 1

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

GCF(481,655,972) x common factors =1 x 1 = 1

LCM(481,655,972) = ( 481 × 655 × 972 ) / 1

LCM(481,655,972) = 306233460 / 1

LCM(481,655,972) = 306233460


Lets's calculate GCF of 906,727,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306233460/1

Therefore the LCM of Fractions 481/906,655/727,972/164 is 306233460

Greatest Common Factor of 906,727,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,727,164 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 906,727,164 . The biggest common factor number is the GCF number.
So the greatest common factor 906,727,164 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 481/906, 655/727, 972/164

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 481/906, 655/727, 972/164?

Answer: LCM of Numerators as per given numbers 481/906, 655/727, 972/164 is

LCM of Numerators i.e. for 481,655,972 is 306233460

GCF of denominators i.e. for 906,727,164 is 1.

Thus, LCM of Fractions is 306233460.Finally, LCM of Fractions for 481/906, 655/727, 972/164 is 306233460.