Least Common Multiple of 195/78, 846/1720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/78, 846/1720 quickly i.e. 27495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/78, 846/1720 is 27495.

LCM(195/78, 846/1720) = 27495

LCM of 195/78, 846/1720

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 195/78,846/1720

Given numbers are 195/78,846/1720

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 195,846

Least Common Multiple of Numerators i.e. LCM of 195,846 is 54990.

GCF of Denominators means GCF of 78,1720 as per the given fractions.

GCF of 78,1720 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,846

LCM of Fractions 195/78,846/1720 is 27495

3 195, 846
65, 282

∴ So the LCM of the given numbers is 3 x 65 x 282 = 54990

Least Common Multiple of 195,846 with GCF Formula

Least Common Multiple of 195,846 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 195,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,846) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(195,846) x common factors =3 x 1 = 3

LCM(195,846) = ( 195 × 846 ) / 3

LCM(195,846) = 164970 / 3

LCM(195,846) = 54990


Lets's calculate GCF of 78,1720

2 78, 1720
39, 860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54990/2

Therefore the LCM of Fractions 195/78,846/1720 is 27495

Greatest Common Factor of 78,1720 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,1720 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 1720

List of positive integer factors of 1720 that divides 1720 without a remainder.

1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720

Greatest Common Factor

We found the factors 78,1720 . The biggest common factor number is the GCF number.
So the greatest common factor 78,1720 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 195/78, 846/1720

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 195/78, 846/1720?

Answer: LCM of Numerators as per given numbers 195/78, 846/1720 is

LCM of Numerators i.e. for 195,846 is 54990

GCF of denominators i.e. for 78,1720 is 2.

Thus, LCM of Fractions is 27495.Finally, LCM of Fractions for 195/78, 846/1720 is 27495.