Least Common Multiple of 507/735, 996/807, 667/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/735, 996/807, 667/912 quickly i.e. 37424036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/735, 996/807, 667/912 is 37424036.

LCM(507/735, 996/807, 667/912) = 37424036

LCM of 507/735, 996/807, 667/912

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 507/735,996/807,667/912

Given numbers are 507/735,996/807,667/912

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 507,996,667

Least Common Multiple of Numerators i.e. LCM of 507,996,667 is 112272108.

GCF of Denominators means GCF of 735,807,912 as per the given fractions.

GCF of 735,807,912 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,996,667

LCM of Fractions 507/735,996/807,667/912 is 37424036

3 507, 996, 667
169, 332, 667

∴ So the LCM of the given numbers is 3 x 169 x 332 x 667 = 112272108

Least Common Multiple of 507,996,667 with GCF Formula

Least Common Multiple of 507,996,667 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 507,996,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,996,667) = 1

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

GCF(507,996,667) x common factors =1 x 3 = 3

LCM(507,996,667) = ( 507 × 996 × 667 ) / 3

LCM(507,996,667) = 336816324 / 3

LCM(507,996,667) = 112272108


Lets's calculate GCF of 735,807,912

3 735, 807, 912
245, 269, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112272108/3

Therefore the LCM of Fractions 507/735,996/807,667/912 is 37424036

Greatest Common Factor of 735,807,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,807,912 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 735,807,912 . The biggest common factor number is the GCF number.
So the greatest common factor 735,807,912 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 507/735, 996/807, 667/912

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 507/735, 996/807, 667/912?

Answer: LCM of Numerators as per given numbers 507/735, 996/807, 667/912 is

LCM of Numerators i.e. for 507,996,667 is 112272108

GCF of denominators i.e. for 735,807,912 is 3.

Thus, LCM of Fractions is 37424036.Finally, LCM of Fractions for 507/735, 996/807, 667/912 is 37424036.