Least Common Multiple of 78/60, 48/12, 22/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/60, 48/12, 22/214 quickly i.e. 3432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/60, 48/12, 22/214 is 3432.

LCM(78/60, 48/12, 22/214) = 3432

LCM of 78/60, 48/12, 22/214

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 78/60,48/12,22/214

Given numbers are 78/60,48/12,22/214

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 78,48,22

Least Common Multiple of Numerators i.e. LCM of 78,48,22 is 6864.

GCF of Denominators means GCF of 60,12,214 as per the given fractions.

GCF of 60,12,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,48,22

LCM of Fractions 78/60,48/12,22/214 is 3432

2 78, 48, 22
3 39, 24, 11
13, 8, 11

∴ So the LCM of the given numbers is 2 x 3 x 13 x 8 x 11 = 6864

Least Common Multiple of 78,48,22 with GCF Formula

Least Common Multiple of 78,48,22 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 78,48,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,48,22) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,48,22) x common factors =2 x 6 = 12

LCM(78,48,22) = ( 78 × 48 × 22 ) / 12

LCM(78,48,22) = 82368 / 12

LCM(78,48,22) = 6864


Lets's calculate GCF of 60,12,214

2 60, 12, 214
30, 6, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6864/2

Therefore the LCM of Fractions 78/60,48/12,22/214 is 3432

Greatest Common Factor of 60,12,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,12,214 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 60,12,214 . The biggest common factor number is the GCF number.
So the greatest common factor 60,12,214 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 78/60, 48/12, 22/214

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 78/60, 48/12, 22/214?

Answer: LCM of Numerators as per given numbers 78/60, 48/12, 22/214 is

LCM of Numerators i.e. for 78,48,22 is 6864

GCF of denominators i.e. for 60,12,214 is 2.

Thus, LCM of Fractions is 3432.Finally, LCM of Fractions for 78/60, 48/12, 22/214 is 3432.