Least Common Multiple of 904/736, 389/527, 940/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/736, 389/527, 940/633 quickly i.e. 82639160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/736, 389/527, 940/633 is 82639160.

LCM(904/736, 389/527, 940/633) = 82639160

LCM of 904/736, 389/527, 940/633

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 904/736,389/527,940/633

Given numbers are 904/736,389/527,940/633

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 904,389,940

Least Common Multiple of Numerators i.e. LCM of 904,389,940 is 82639160.

GCF of Denominators means GCF of 736,527,633 as per the given fractions.

GCF of 736,527,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,389,940

LCM of Fractions 904/736,389/527,940/633 is 82639160

2 904, 389, 940
2 452, 389, 470
226, 389, 235

∴ So the LCM of the given numbers is 2 x 2 x 226 x 389 x 235 = 82639160

Least Common Multiple of 904,389,940 with GCF Formula

Least Common Multiple of 904,389,940 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 904,389,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,389,940) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(904,389,940) x common factors =1 x 4 = 4

LCM(904,389,940) = ( 904 × 389 × 940 ) / 4

LCM(904,389,940) = 330556640 / 4

LCM(904,389,940) = 82639160


Lets's calculate GCF of 736,527,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82639160/1

Therefore the LCM of Fractions 904/736,389/527,940/633 is 82639160

Greatest Common Factor of 736,527,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,527,633 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 736,527,633 . The biggest common factor number is the GCF number.
So the greatest common factor 736,527,633 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 904/736, 389/527, 940/633

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 904/736, 389/527, 940/633?

Answer: LCM of Numerators as per given numbers 904/736, 389/527, 940/633 is

LCM of Numerators i.e. for 904,389,940 is 82639160

GCF of denominators i.e. for 736,527,633 is 1.

Thus, LCM of Fractions is 82639160.Finally, LCM of Fractions for 904/736, 389/527, 940/633 is 82639160.