Least Common Multiple of 312/72, 400/86, 491/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/72, 400/86, 491/728 quickly i.e. 3829800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/72, 400/86, 491/728 is 3829800.

LCM(312/72, 400/86, 491/728) = 3829800

LCM of 312/72, 400/86, 491/728

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 312/72,400/86,491/728

Given numbers are 312/72,400/86,491/728

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 312,400,491

Least Common Multiple of Numerators i.e. LCM of 312,400,491 is 7659600.

GCF of Denominators means GCF of 72,86,728 as per the given fractions.

GCF of 72,86,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,400,491

LCM of Fractions 312/72,400/86,491/728 is 3829800

2 312, 400, 491
2 156, 200, 491
2 78, 100, 491
39, 50, 491

∴ So the LCM of the given numbers is 2 x 2 x 2 x 39 x 50 x 491 = 7659600

Least Common Multiple of 312,400,491 with GCF Formula

Least Common Multiple of 312,400,491 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 312,400,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,400,491) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(312,400,491) x common factors =1 x 8 = 8

LCM(312,400,491) = ( 312 × 400 × 491 ) / 8

LCM(312,400,491) = 61276800 / 8

LCM(312,400,491) = 7659600


Lets's calculate GCF of 72,86,728

2 72, 86, 728
36, 43, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7659600/2

Therefore the LCM of Fractions 312/72,400/86,491/728 is 3829800

Greatest Common Factor of 72,86,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,86,728 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 72,86,728 . The biggest common factor number is the GCF number.
So the greatest common factor 72,86,728 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 312/72, 400/86, 491/728

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 312/72, 400/86, 491/728?

Answer: LCM of Numerators as per given numbers 312/72, 400/86, 491/728 is

LCM of Numerators i.e. for 312,400,491 is 7659600

GCF of denominators i.e. for 72,86,728 is 2.

Thus, LCM of Fractions is 3829800.Finally, LCM of Fractions for 312/72, 400/86, 491/728 is 3829800.