Least Common Multiple of 7113/83, 8422/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7113/83, 8422/211 quickly i.e. 59905686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7113/83, 8422/211 is 59905686.

LCM(7113/83, 8422/211) = 59905686

LCM of 7113/83, 8422/211

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 7113/83,8422/211

Given numbers are 7113/83,8422/211

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 7113,8422

Least Common Multiple of Numerators i.e. LCM of 7113,8422 is 59905686.

GCF of Denominators means GCF of 83,211 as per the given fractions.

GCF of 83,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7113,8422

LCM of Fractions 7113/83,8422/211 is 59905686

Given numbers has no common factors except 1. So, there LCM is their product i.e 59905686

Least Common Multiple of 7113,8422 with GCF Formula

Least Common Multiple of 7113,8422 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 7113,8422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7113,8422) = 1

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

GCF(7113,8422) x common factors =1 x 1 = 1

LCM(7113,8422) = ( 7113 × 8422 ) / 1

LCM(7113,8422) = 59905686 / 1

LCM(7113,8422) = 59905686


Lets's calculate GCF of 83,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59905686/1

Therefore the LCM of Fractions 7113/83,8422/211 is 59905686

Greatest Common Factor of 83,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,211 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 83,211 . The biggest common factor number is the GCF number.
So the greatest common factor 83,211 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7113/83, 8422/211

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 7113/83, 8422/211?

Answer: LCM of Numerators as per given numbers 7113/83, 8422/211 is

LCM of Numerators i.e. for 7113,8422 is 59905686

GCF of denominators i.e. for 83,211 is 1.

Thus, LCM of Fractions is 59905686.Finally, LCM of Fractions for 7113/83, 8422/211 is 59905686.