Least Common Multiple of 391/303, 765/522, 977/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 391/303, 765/522, 977/576 quickly i.e. 5730105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/303, 765/522, 977/576 is 5730105.

LCM(391/303, 765/522, 977/576) = 5730105

LCM of 391/303, 765/522, 977/576

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 391/303,765/522,977/576

Given numbers are 391/303,765/522,977/576

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 391,765,977

Least Common Multiple of Numerators i.e. LCM of 391,765,977 is 17190315.

GCF of Denominators means GCF of 303,522,576 as per the given fractions.

GCF of 303,522,576 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,765,977

LCM of Fractions 391/303,765/522,977/576 is 5730105

17 391, 765, 977
23, 45, 977

∴ So the LCM of the given numbers is 17 x 23 x 45 x 977 = 17190315

Least Common Multiple of 391,765,977 with GCF Formula

Least Common Multiple of 391,765,977 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 391,765,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,765,977) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(391,765,977) x common factors =1 x 17 = 17

LCM(391,765,977) = ( 391 × 765 × 977 ) / 17

LCM(391,765,977) = 292235355 / 17

LCM(391,765,977) = 17190315


Lets's calculate GCF of 303,522,576

3 303, 522, 576
101, 174, 192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17190315/3

Therefore the LCM of Fractions 391/303,765/522,977/576 is 5730105

Greatest Common Factor of 303,522,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,522,576 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 303,522,576 . The biggest common factor number is the GCF number.
So the greatest common factor 303,522,576 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 391/303, 765/522, 977/576

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 391/303, 765/522, 977/576?

Answer: LCM of Numerators as per given numbers 391/303, 765/522, 977/576 is

LCM of Numerators i.e. for 391,765,977 is 17190315

GCF of denominators i.e. for 303,522,576 is 3.

Thus, LCM of Fractions is 5730105.Finally, LCM of Fractions for 391/303, 765/522, 977/576 is 5730105.