Least Common Multiple of 996/663, 580/552, 937/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/663, 580/552, 937/475 quickly i.e. 135321540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/663, 580/552, 937/475 is 135321540.

LCM(996/663, 580/552, 937/475) = 135321540

LCM of 996/663, 580/552, 937/475

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 996/663,580/552,937/475

Given numbers are 996/663,580/552,937/475

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 996,580,937

Least Common Multiple of Numerators i.e. LCM of 996,580,937 is 135321540.

GCF of Denominators means GCF of 663,552,475 as per the given fractions.

GCF of 663,552,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,580,937

LCM of Fractions 996/663,580/552,937/475 is 135321540

2 996, 580, 937
2 498, 290, 937
249, 145, 937

∴ So the LCM of the given numbers is 2 x 2 x 249 x 145 x 937 = 135321540

Least Common Multiple of 996,580,937 with GCF Formula

Least Common Multiple of 996,580,937 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 996,580,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,580,937) = 1

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

GCF(996,580,937) x common factors =1 x 4 = 4

LCM(996,580,937) = ( 996 × 580 × 937 ) / 4

LCM(996,580,937) = 541286160 / 4

LCM(996,580,937) = 135321540


Lets's calculate GCF of 663,552,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135321540/1

Therefore the LCM of Fractions 996/663,580/552,937/475 is 135321540

Greatest Common Factor of 663,552,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,552,475 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 663,552,475 . The biggest common factor number is the GCF number.
So the greatest common factor 663,552,475 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 996/663, 580/552, 937/475

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 996/663, 580/552, 937/475?

Answer: LCM of Numerators as per given numbers 996/663, 580/552, 937/475 is

LCM of Numerators i.e. for 996,580,937 is 135321540

GCF of denominators i.e. for 663,552,475 is 1.

Thus, LCM of Fractions is 135321540.Finally, LCM of Fractions for 996/663, 580/552, 937/475 is 135321540.