Least Common Multiple of 507/72, 700/48, 984/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/72, 700/48, 984/339 quickly i.e. 9700600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/72, 700/48, 984/339 is 9700600.

LCM(507/72, 700/48, 984/339) = 9700600

LCM of 507/72, 700/48, 984/339

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 507/72,700/48,984/339

Given numbers are 507/72,700/48,984/339

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 507,700,984

Least Common Multiple of Numerators i.e. LCM of 507,700,984 is 29101800.

GCF of Denominators means GCF of 72,48,339 as per the given fractions.

GCF of 72,48,339 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,700,984

LCM of Fractions 507/72,700/48,984/339 is 9700600

2 507, 700, 984
2 507, 350, 492
3 507, 175, 246
169, 175, 82

∴ So the LCM of the given numbers is 2 x 2 x 3 x 169 x 175 x 82 = 29101800

Least Common Multiple of 507,700,984 with GCF Formula

Least Common Multiple of 507,700,984 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 507,700,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,700,984) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(507,700,984) x common factors =1 x 12 = 12

LCM(507,700,984) = ( 507 × 700 × 984 ) / 12

LCM(507,700,984) = 349221600 / 12

LCM(507,700,984) = 29101800


Lets's calculate GCF of 72,48,339

3 72, 48, 339
24, 16, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29101800/3

Therefore the LCM of Fractions 507/72,700/48,984/339 is 9700600

Greatest Common Factor of 72,48,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,48,339 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 72,48,339 . The biggest common factor number is the GCF number.
So the greatest common factor 72,48,339 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 507/72, 700/48, 984/339

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 507/72, 700/48, 984/339?

Answer: LCM of Numerators as per given numbers 507/72, 700/48, 984/339 is

LCM of Numerators i.e. for 507,700,984 is 29101800

GCF of denominators i.e. for 72,48,339 is 3.

Thus, LCM of Fractions is 9700600.Finally, LCM of Fractions for 507/72, 700/48, 984/339 is 9700600.