Least Common Multiple of 966/780, 493/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 966/780, 493/135 quickly i.e. 476238/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/780, 493/135 is 476238/15.

LCM(966/780, 493/135) = 476238/15

LCM of 966/780, 493/135

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 966/780,493/135

Given numbers are 966/780,493/135

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 966,493

Least Common Multiple of Numerators i.e. LCM of 966,493 is 476238.

GCF of Denominators means GCF of 780,135 as per the given fractions.

GCF of 780,135 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,493

LCM of Fractions 966/780,493/135 is 476238/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 476238

Least Common Multiple of 966,493 with GCF Formula

Least Common Multiple of 966,493 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 966,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,493) = 1

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

GCF(966,493) x common factors =1 x 1 = 1

LCM(966,493) = ( 966 × 493 ) / 1

LCM(966,493) = 476238 / 1

LCM(966,493) = 476238


Lets's calculate GCF of 780,135

3 780, 135
5 260, 45
52, 9

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476238/15

Therefore the LCM of Fractions 966/780,493/135 is 476238/15

Greatest Common Factor of 780,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,135 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 780,135 . The biggest common factor number is the GCF number.
So the greatest common factor 780,135 is 15.


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 966/780, 493/135

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 966/780, 493/135?

Answer: LCM of Numerators as per given numbers 966/780, 493/135 is

LCM of Numerators i.e. for 966,493 is 476238

GCF of denominators i.e. for 780,135 is 15.

Thus, LCM of Fractions is 476238/15.Finally, LCM of Fractions for 966/780, 493/135 is 476238/15.