Least Common Multiple of 253/216, 672/359, 723/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/216, 672/359, 723/486 quickly i.e. 40973856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/216, 672/359, 723/486 is 40973856.

LCM(253/216, 672/359, 723/486) = 40973856

LCM of 253/216, 672/359, 723/486

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 253/216,672/359,723/486

Given numbers are 253/216,672/359,723/486

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 253,672,723

Least Common Multiple of Numerators i.e. LCM of 253,672,723 is 40973856.

GCF of Denominators means GCF of 216,359,486 as per the given fractions.

GCF of 216,359,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,672,723

LCM of Fractions 253/216,672/359,723/486 is 40973856

3 253, 672, 723
253, 224, 241

∴ So the LCM of the given numbers is 3 x 253 x 224 x 241 = 40973856

Least Common Multiple of 253,672,723 with GCF Formula

Least Common Multiple of 253,672,723 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 253,672,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,672,723) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(253,672,723) x common factors =1 x 3 = 3

LCM(253,672,723) = ( 253 × 672 × 723 ) / 3

LCM(253,672,723) = 122921568 / 3

LCM(253,672,723) = 40973856


Lets's calculate GCF of 216,359,486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40973856/1

Therefore the LCM of Fractions 253/216,672/359,723/486 is 40973856

Greatest Common Factor of 216,359,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,359,486 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 216,359,486 . The biggest common factor number is the GCF number.
So the greatest common factor 216,359,486 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 253/216, 672/359, 723/486

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 253/216, 672/359, 723/486?

Answer: LCM of Numerators as per given numbers 253/216, 672/359, 723/486 is

LCM of Numerators i.e. for 253,672,723 is 40973856

GCF of denominators i.e. for 216,359,486 is 1.

Thus, LCM of Fractions is 40973856.Finally, LCM of Fractions for 253/216, 672/359, 723/486 is 40973856.