Least Common Multiple of 78/53, 80/91, 857/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/53, 80/91, 857/210 quickly i.e. 2673840 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, 80/91, 857/210 is 2673840.

LCM(78/53, 80/91, 857/210) = 2673840

LCM of 78/53, 80/91, 857/210

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 78/53,80/91,857/210

Given numbers are 78/53,80/91,857/210

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 78,80,857

Least Common Multiple of Numerators i.e. LCM of 78,80,857 is 2673840.

GCF of Denominators means GCF of 53,91,210 as per the given fractions.

GCF of 53,91,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,80,857

LCM of Fractions 78/53,80/91,857/210 is 2673840

2 78, 80, 857
39, 40, 857

∴ So the LCM of the given numbers is 2 x 39 x 40 x 857 = 2673840

Least Common Multiple of 78,80,857 with GCF Formula

Least Common Multiple of 78,80,857 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 78,80,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,80,857) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,80,857) x common factors =1 x 2 = 2

LCM(78,80,857) = ( 78 × 80 × 857 ) / 2

LCM(78,80,857) = 5347680 / 2

LCM(78,80,857) = 2673840


Lets's calculate GCF of 53,91,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2673840/1

Therefore the LCM of Fractions 78/53,80/91,857/210 is 2673840

Greatest Common Factor of 53,91,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,91,210 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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 53,91,210 . The biggest common factor number is the GCF number.
So the greatest common factor 53,91,210 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, 80/91, 857/210

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, 80/91, 857/210?

Answer: LCM of Numerators as per given numbers 78/53, 80/91, 857/210 is

LCM of Numerators i.e. for 78,80,857 is 2673840

GCF of denominators i.e. for 53,91,210 is 1.

Thus, LCM of Fractions is 2673840.Finally, LCM of Fractions for 78/53, 80/91, 857/210 is 2673840.