Least Common Multiple of 78/53, 60/33, 65/28, 64/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/53, 60/33, 65/28, 64/857 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 78/53, 60/33, 65/28, 64/857 is 12480.

LCM(78/53, 60/33, 65/28, 64/857) = 12480

LCM of 78/53, 60/33, 65/28, 64/857

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 78/53,60/33,65/28,64/857

Given numbers are 78/53,60/33,65/28,64/857

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 78,60,65,64

Least Common Multiple of Numerators i.e. LCM of 78,60,65,64 is 12480.

GCF of Denominators means GCF of 53,33,28,857 as per the given fractions.

GCF of 53,33,28,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,60,65,64

LCM of Fractions 78/53,60/33,65/28,64/857 is 12480

2 78, 60, 65, 64
2 39, 30, 65, 32
3 39, 15, 65, 16
5 13, 5, 65, 16
13 13, 1, 13, 16
1, 1, 1, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 1 x 1 x 1 x 16 = 12480

Least Common Multiple of 78,60,65,64 with GCF Formula

Least Common Multiple of 78,60,65,64 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 78,60,65,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,60,65,64) = 1

common factors(in case of two or more numbers have common factors) = 1560

GCF(78,60,65,64) x common factors =1 x 1560 = 1560

LCM(78,60,65,64) = ( 78 × 60 × 65 × 64 ) / 1560

LCM(78,60,65,64) = 19468800 / 1560

LCM(78,60,65,64) = 12480


Lets's calculate GCF of 53,33,28,857

∴ 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 78/53,60/33,65/28,64/857 is 12480

Greatest Common Factor of 53,33,28,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,33,28,857 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 28

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

1,2,4,7,14,28

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 53,33,28,857 . The biggest common factor number is the GCF number.
So the greatest common factor 53,33,28,857 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 78/53, 60/33, 65/28, 64/857

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 78/53, 60/33, 65/28, 64/857?

Answer: LCM of Numerators as per given numbers 78/53, 60/33, 65/28, 64/857 is

LCM of Numerators i.e. for 78,60,65,64 is 12480

GCF of denominators i.e. for 53,33,28,857 is 1.

Thus, LCM of Fractions is 12480.Finally, LCM of Fractions for 78/53, 60/33, 65/28, 64/857 is 12480.