Least Common Multiple of 3/72, 6/86, 66/54, 77/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/72, 6/86, 66/54, 77/363 quickly i.e. 462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/72, 6/86, 66/54, 77/363 is 462.

LCM(3/72, 6/86, 66/54, 77/363) = 462

LCM of 3/72, 6/86, 66/54, 77/363

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 3/72,6/86,66/54,77/363

Given numbers are 3/72,6/86,66/54,77/363

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 3,6,66,77

Least Common Multiple of Numerators i.e. LCM of 3,6,66,77 is 462.

GCF of Denominators means GCF of 72,86,54,363 as per the given fractions.

GCF of 72,86,54,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,6,66,77

LCM of Fractions 3/72,6/86,66/54,77/363 is 462

2 3, 6, 66, 77
3 3, 3, 33, 77
11 1, 1, 11, 77
1, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 1 x 1 x 7 = 462

Least Common Multiple of 3,6,66,77 with GCF Formula

Least Common Multiple of 3,6,66,77 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 3,6,66,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,6,66,77) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(3,6,66,77) x common factors =1 x 198 = 198

LCM(3,6,66,77) = ( 3 × 6 × 66 × 77 ) / 198

LCM(3,6,66,77) = 91476 / 198

LCM(3,6,66,77) = 462


Lets's calculate GCF of 72,86,54,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462/1

Therefore the LCM of Fractions 3/72,6/86,66/54,77/363 is 462

Greatest Common Factor of 72,86,54,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,86,54,363 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 72,86,54,363 . The biggest common factor number is the GCF number.
So the greatest common factor 72,86,54,363 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 3/72, 6/86, 66/54, 77/363

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 3/72, 6/86, 66/54, 77/363?

Answer: LCM of Numerators as per given numbers 3/72, 6/86, 66/54, 77/363 is

LCM of Numerators i.e. for 3,6,66,77 is 462

GCF of denominators i.e. for 72,86,54,363 is 1.

Thus, LCM of Fractions is 462.Finally, LCM of Fractions for 3/72, 6/86, 66/54, 77/363 is 462.