Least Common Multiple of 3/78, 4/47, 22/21, 66/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/78, 4/47, 22/21, 66/412 quickly i.e. 132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/78, 4/47, 22/21, 66/412 is 132.

LCM(3/78, 4/47, 22/21, 66/412) = 132

LCM of 3/78, 4/47, 22/21, 66/412

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 3/78,4/47,22/21,66/412

Given numbers are 3/78,4/47,22/21,66/412

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 3,4,22,66

Least Common Multiple of Numerators i.e. LCM of 3,4,22,66 is 132.

GCF of Denominators means GCF of 78,47,21,412 as per the given fractions.

GCF of 78,47,21,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,4,22,66

LCM of Fractions 3/78,4/47,22/21,66/412 is 132

2 3, 4, 22, 66
3 3, 2, 11, 33
11 1, 2, 11, 11
1, 2, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 2 x 1 x 1 = 132

Least Common Multiple of 3,4,22,66 with GCF Formula

Least Common Multiple of 3,4,22,66 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 3,4,22,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,4,22,66) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(3,4,22,66) x common factors =1 x 132 = 132

LCM(3,4,22,66) = ( 3 × 4 × 22 × 66 ) / 132

LCM(3,4,22,66) = 17424 / 132

LCM(3,4,22,66) = 132


Lets's calculate GCF of 78,47,21,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132/1

Therefore the LCM of Fractions 3/78,4/47,22/21,66/412 is 132

Greatest Common Factor of 78,47,21,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,47,21,412 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 78,47,21,412 . The biggest common factor number is the GCF number.
So the greatest common factor 78,47,21,412 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 3/78, 4/47, 22/21, 66/412

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 3/78, 4/47, 22/21, 66/412?

Answer: LCM of Numerators as per given numbers 3/78, 4/47, 22/21, 66/412 is

LCM of Numerators i.e. for 3,4,22,66 is 132

GCF of denominators i.e. for 78,47,21,412 is 1.

Thus, LCM of Fractions is 132.Finally, LCM of Fractions for 3/78, 4/47, 22/21, 66/412 is 132.