Least Common Multiple of 31/765, 735/30, 984/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/765, 735/30, 984/592 quickly i.e. 7473480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/765, 735/30, 984/592 is 7473480.

LCM(31/765, 735/30, 984/592) = 7473480

LCM of 31/765, 735/30, 984/592

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 31/765,735/30,984/592

Given numbers are 31/765,735/30,984/592

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 31,735,984

Least Common Multiple of Numerators i.e. LCM of 31,735,984 is 7473480.

GCF of Denominators means GCF of 765,30,592 as per the given fractions.

GCF of 765,30,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,735,984

LCM of Fractions 31/765,735/30,984/592 is 7473480

3 31, 735, 984
31, 245, 328

∴ So the LCM of the given numbers is 3 x 31 x 245 x 328 = 7473480

Least Common Multiple of 31,735,984 with GCF Formula

Least Common Multiple of 31,735,984 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 31,735,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,735,984) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,735,984) x common factors =1 x 3 = 3

LCM(31,735,984) = ( 31 × 735 × 984 ) / 3

LCM(31,735,984) = 22420440 / 3

LCM(31,735,984) = 7473480


Lets's calculate GCF of 765,30,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7473480/1

Therefore the LCM of Fractions 31/765,735/30,984/592 is 7473480

Greatest Common Factor of 765,30,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,30,592 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 765,30,592 . The biggest common factor number is the GCF number.
So the greatest common factor 765,30,592 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 31/765, 735/30, 984/592

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 31/765, 735/30, 984/592?

Answer: LCM of Numerators as per given numbers 31/765, 735/30, 984/592 is

LCM of Numerators i.e. for 31,735,984 is 7473480

GCF of denominators i.e. for 765,30,592 is 1.

Thus, LCM of Fractions is 7473480.Finally, LCM of Fractions for 31/765, 735/30, 984/592 is 7473480.