Least Common Multiple of 306/971, 408/339, 765/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/971, 408/339, 765/378 quickly i.e. 6120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/971, 408/339, 765/378 is 6120.

LCM(306/971, 408/339, 765/378) = 6120

LCM of 306/971, 408/339, 765/378

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 306/971,408/339,765/378

Given numbers are 306/971,408/339,765/378

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 306,408,765

Least Common Multiple of Numerators i.e. LCM of 306,408,765 is 6120.

GCF of Denominators means GCF of 971,339,378 as per the given fractions.

GCF of 971,339,378 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,408,765

LCM of Fractions 306/971,408/339,765/378 is 6120

2 306, 408, 765
3 153, 204, 765
3 51, 68, 255
17 17, 68, 85
1, 4, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 1 x 4 x 5 = 6120

Least Common Multiple of 306,408,765 with GCF Formula

Least Common Multiple of 306,408,765 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 306,408,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,408,765) = 51

common factors(in case of two or more numbers have common factors) = 306

GCF(306,408,765) x common factors =51 x 306 = 15606

LCM(306,408,765) = ( 306 × 408 × 765 ) / 15606

LCM(306,408,765) = 95508720 / 15606

LCM(306,408,765) = 6120


Lets's calculate GCF of 971,339,378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6120/1

Therefore the LCM of Fractions 306/971,408/339,765/378 is 6120

Greatest Common Factor of 971,339,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,339,378 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 971,339,378 . The biggest common factor number is the GCF number.
So the greatest common factor 971,339,378 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 306/971, 408/339, 765/378

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 306/971, 408/339, 765/378?

Answer: LCM of Numerators as per given numbers 306/971, 408/339, 765/378 is

LCM of Numerators i.e. for 306,408,765 is 6120

GCF of denominators i.e. for 971,339,378 is 1.

Thus, LCM of Fractions is 6120.Finally, LCM of Fractions for 306/971, 408/339, 765/378 is 6120.