Least Common Multiple of 212/36, 507/7498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/36, 507/7498 quickly i.e. 53742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/36, 507/7498 is 53742.

LCM(212/36, 507/7498) = 53742

LCM of 212/36, 507/7498

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 212/36,507/7498

Given numbers are 212/36,507/7498

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 212,507

Least Common Multiple of Numerators i.e. LCM of 212,507 is 107484.

GCF of Denominators means GCF of 36,7498 as per the given fractions.

GCF of 36,7498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,507

LCM of Fractions 212/36,507/7498 is 53742

Given numbers has no common factors except 1. So, there LCM is their product i.e 107484

Least Common Multiple of 212,507 with GCF Formula

Least Common Multiple of 212,507 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 212,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,507) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(212,507) x common factors =1 x 1 = 1

LCM(212,507) = ( 212 × 507 ) / 1

LCM(212,507) = 107484 / 1

LCM(212,507) = 107484


Lets's calculate GCF of 36,7498

2 36, 7498
18, 3749

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107484/2

Therefore the LCM of Fractions 212/36,507/7498 is 53742

Greatest Common Factor of 36,7498 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,7498 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 7498

List of positive integer factors of 7498 that divides 7498 without a remainder.

1,2,23,46,163,326,3749,7498

Greatest Common Factor

We found the factors 36,7498 . The biggest common factor number is the GCF number.
So the greatest common factor 36,7498 is 2.


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 212/36, 507/7498

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 212/36, 507/7498?

Answer: LCM of Numerators as per given numbers 212/36, 507/7498 is

LCM of Numerators i.e. for 212,507 is 107484

GCF of denominators i.e. for 36,7498 is 2.

Thus, LCM of Fractions is 53742.Finally, LCM of Fractions for 212/36, 507/7498 is 53742.