Least Common Multiple of 74/959, 759/742, 723/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/959, 759/742, 723/315 quickly i.e. 13536006/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/959, 759/742, 723/315 is 13536006/7.

LCM(74/959, 759/742, 723/315) = 13536006/7

LCM of 74/959, 759/742, 723/315

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 74/959,759/742,723/315

Given numbers are 74/959,759/742,723/315

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 74,759,723

Least Common Multiple of Numerators i.e. LCM of 74,759,723 is 13536006.

GCF of Denominators means GCF of 959,742,315 as per the given fractions.

GCF of 959,742,315 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,759,723

LCM of Fractions 74/959,759/742,723/315 is 13536006/7

3 74, 759, 723
74, 253, 241

∴ So the LCM of the given numbers is 3 x 74 x 253 x 241 = 13536006

Least Common Multiple of 74,759,723 with GCF Formula

Least Common Multiple of 74,759,723 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 74,759,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,759,723) = 1

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

GCF(74,759,723) x common factors =1 x 3 = 3

LCM(74,759,723) = ( 74 × 759 × 723 ) / 3

LCM(74,759,723) = 40608018 / 3

LCM(74,759,723) = 13536006


Lets's calculate GCF of 959,742,315

7 959, 742, 315
137, 106, 45

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13536006/7

Therefore the LCM of Fractions 74/959,759/742,723/315 is 13536006/7

Greatest Common Factor of 959,742,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,742,315 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 959,742,315 . The biggest common factor number is the GCF number.
So the greatest common factor 959,742,315 is 7.


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 74/959, 759/742, 723/315

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 74/959, 759/742, 723/315?

Answer: LCM of Numerators as per given numbers 74/959, 759/742, 723/315 is

LCM of Numerators i.e. for 74,759,723 is 13536006

GCF of denominators i.e. for 959,742,315 is 7.

Thus, LCM of Fractions is 13536006/7.Finally, LCM of Fractions for 74/959, 759/742, 723/315 is 13536006/7.