Least Common Multiple of 75/64, 64/12, 16/28, 60/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/64, 64/12, 16/28, 60/679 quickly i.e. 4800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/64, 64/12, 16/28, 60/679 is 4800.

LCM(75/64, 64/12, 16/28, 60/679) = 4800

LCM of 75/64, 64/12, 16/28, 60/679

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 75/64,64/12,16/28,60/679

Given numbers are 75/64,64/12,16/28,60/679

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 75,64,16,60

Least Common Multiple of Numerators i.e. LCM of 75,64,16,60 is 4800.

GCF of Denominators means GCF of 64,12,28,679 as per the given fractions.

GCF of 64,12,28,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,64,16,60

LCM of Fractions 75/64,64/12,16/28,60/679 is 4800

2 75, 64, 16, 60
2 75, 32, 8, 30
2 75, 16, 4, 15
2 75, 8, 2, 15
3 75, 4, 1, 15
5 25, 4, 1, 5
1, 4, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 4 x 1 x 5 = 4800

Least Common Multiple of 75,64,16,60 with GCF Formula

Least Common Multiple of 75,64,16,60 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 75,64,16,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,64,16,60) = 1

common factors(in case of two or more numbers have common factors) = 960

GCF(75,64,16,60) x common factors =1 x 960 = 960

LCM(75,64,16,60) = ( 75 × 64 × 16 × 60 ) / 960

LCM(75,64,16,60) = 4608000 / 960

LCM(75,64,16,60) = 4800


Lets's calculate GCF of 64,12,28,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4800/1

Therefore the LCM of Fractions 75/64,64/12,16/28,60/679 is 4800

Greatest Common Factor of 64,12,28,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,12,28,679 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 12

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

1,2,3,4,6,12

Factors of 28

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

1,2,4,7,14,28

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 64,12,28,679 . The biggest common factor number is the GCF number.
So the greatest common factor 64,12,28,679 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 75/64, 64/12, 16/28, 60/679

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 75/64, 64/12, 16/28, 60/679?

Answer: LCM of Numerators as per given numbers 75/64, 64/12, 16/28, 60/679 is

LCM of Numerators i.e. for 75,64,16,60 is 4800

GCF of denominators i.e. for 64,12,28,679 is 1.

Thus, LCM of Fractions is 4800.Finally, LCM of Fractions for 75/64, 64/12, 16/28, 60/679 is 4800.