Least Common Multiple of 780/309, 5941/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/309, 5941/453 quickly i.e. 118820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/309, 5941/453 is 118820.

LCM(780/309, 5941/453) = 118820

LCM of 780/309, 5941/453

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 780/309,5941/453

Given numbers are 780/309,5941/453

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 780,5941

Least Common Multiple of Numerators i.e. LCM of 780,5941 is 356460.

GCF of Denominators means GCF of 309,453 as per the given fractions.

GCF of 309,453 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,5941

LCM of Fractions 780/309,5941/453 is 118820

13 780, 5941
60, 457

∴ So the LCM of the given numbers is 13 x 60 x 457 = 356460

Least Common Multiple of 780,5941 with GCF Formula

Least Common Multiple of 780,5941 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 780,5941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,5941) = 13

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

GCF(780,5941) x common factors =13 x 1 = 13

LCM(780,5941) = ( 780 × 5941 ) / 13

LCM(780,5941) = 4633980 / 13

LCM(780,5941) = 356460


Lets's calculate GCF of 309,453

3 309, 453
103, 151

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356460/3

Therefore the LCM of Fractions 780/309,5941/453 is 118820

Greatest Common Factor of 309,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,453 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 309,453 . The biggest common factor number is the GCF number.
So the greatest common factor 309,453 is 3.


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 780/309, 5941/453

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 780/309, 5941/453?

Answer: LCM of Numerators as per given numbers 780/309, 5941/453 is

LCM of Numerators i.e. for 780,5941 is 356460

GCF of denominators i.e. for 309,453 is 3.

Thus, LCM of Fractions is 118820.Finally, LCM of Fractions for 780/309, 5941/453 is 118820.