Least Common Multiple of 6/28, 5/26, 64/16, 78/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/28, 5/26, 64/16, 78/149 quickly i.e. 12480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/28, 5/26, 64/16, 78/149 is 12480.

LCM(6/28, 5/26, 64/16, 78/149) = 12480

LCM of 6/28, 5/26, 64/16, 78/149

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 6/28,5/26,64/16,78/149

Given numbers are 6/28,5/26,64/16,78/149

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 6,5,64,78

Least Common Multiple of Numerators i.e. LCM of 6,5,64,78 is 12480.

GCF of Denominators means GCF of 28,26,16,149 as per the given fractions.

GCF of 28,26,16,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,5,64,78

LCM of Fractions 6/28,5/26,64/16,78/149 is 12480

2 6, 5, 64, 78
3 3, 5, 32, 39
1, 5, 32, 13

∴ So the LCM of the given numbers is 2 x 3 x 1 x 5 x 32 x 13 = 12480

Least Common Multiple of 6,5,64,78 with GCF Formula

Least Common Multiple of 6,5,64,78 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 6,5,64,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,5,64,78) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(6,5,64,78) x common factors =1 x 12 = 12

LCM(6,5,64,78) = ( 6 × 5 × 64 × 78 ) / 12

LCM(6,5,64,78) = 149760 / 12

LCM(6,5,64,78) = 12480


Lets's calculate GCF of 28,26,16,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12480/1

Therefore the LCM of Fractions 6/28,5/26,64/16,78/149 is 12480

Greatest Common Factor of 28,26,16,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,26,16,149 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 28,26,16,149 . The biggest common factor number is the GCF number.
So the greatest common factor 28,26,16,149 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 6/28, 5/26, 64/16, 78/149

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 6/28, 5/26, 64/16, 78/149?

Answer: LCM of Numerators as per given numbers 6/28, 5/26, 64/16, 78/149 is

LCM of Numerators i.e. for 6,5,64,78 is 12480

GCF of denominators i.e. for 28,26,16,149 is 1.

Thus, LCM of Fractions is 12480.Finally, LCM of Fractions for 6/28, 5/26, 64/16, 78/149 is 12480.