Least Common Multiple of 72/78, 86/821, 900/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/78, 86/821, 900/460 quickly i.e. 77400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/78, 86/821, 900/460 is 77400.

LCM(72/78, 86/821, 900/460) = 77400

LCM of 72/78, 86/821, 900/460

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 72/78,86/821,900/460

Given numbers are 72/78,86/821,900/460

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 72,86,900

Least Common Multiple of Numerators i.e. LCM of 72,86,900 is 77400.

GCF of Denominators means GCF of 78,821,460 as per the given fractions.

GCF of 78,821,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,86,900

LCM of Fractions 72/78,86/821,900/460 is 77400

2 72, 86, 900
2 36, 43, 450
3 18, 43, 225
3 6, 43, 75
2, 43, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 43 x 25 = 77400

Least Common Multiple of 72,86,900 with GCF Formula

Least Common Multiple of 72,86,900 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 72,86,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,86,900) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(72,86,900) x common factors =2 x 36 = 72

LCM(72,86,900) = ( 72 × 86 × 900 ) / 72

LCM(72,86,900) = 5572800 / 72

LCM(72,86,900) = 77400


Lets's calculate GCF of 78,821,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77400/1

Therefore the LCM of Fractions 72/78,86/821,900/460 is 77400

Greatest Common Factor of 78,821,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,821,460 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 78,821,460 . The biggest common factor number is the GCF number.
So the greatest common factor 78,821,460 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 72/78, 86/821, 900/460

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 72/78, 86/821, 900/460?

Answer: LCM of Numerators as per given numbers 72/78, 86/821, 900/460 is

LCM of Numerators i.e. for 72,86,900 is 77400

GCF of denominators i.e. for 78,821,460 is 1.

Thus, LCM of Fractions is 77400.Finally, LCM of Fractions for 72/78, 86/821, 900/460 is 77400.