Least Common Multiple of 213/15, 371/4052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/15, 371/4052 quickly i.e. 79023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/15, 371/4052 is 79023.

LCM(213/15, 371/4052) = 79023

LCM of 213/15, 371/4052

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 213/15,371/4052

Given numbers are 213/15,371/4052

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 213,371

Least Common Multiple of Numerators i.e. LCM of 213,371 is 79023.

GCF of Denominators means GCF of 15,4052 as per the given fractions.

GCF of 15,4052 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,371

LCM of Fractions 213/15,371/4052 is 79023

Given numbers has no common factors except 1. So, there LCM is their product i.e 79023

Least Common Multiple of 213,371 with GCF Formula

Least Common Multiple of 213,371 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 213,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,371) = 1

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

GCF(213,371) x common factors =1 x 1 = 1

LCM(213,371) = ( 213 × 371 ) / 1

LCM(213,371) = 79023 / 1

LCM(213,371) = 79023


Lets's calculate GCF of 15,4052

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79023/1

Therefore the LCM of Fractions 213/15,371/4052 is 79023

Greatest Common Factor of 15,4052 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,4052 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1,2,4,1013,2026,4052

Greatest Common Factor

We found the factors 15,4052 . The biggest common factor number is the GCF number.
So the greatest common factor 15,4052 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 213/15, 371/4052

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 213/15, 371/4052?

Answer: LCM of Numerators as per given numbers 213/15, 371/4052 is

LCM of Numerators i.e. for 213,371 is 79023

GCF of denominators i.e. for 15,4052 is 1.

Thus, LCM of Fractions is 79023.Finally, LCM of Fractions for 213/15, 371/4052 is 79023.