Least Common Multiple of 213/41, 307/7986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/41, 307/7986 quickly i.e. 65391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/41, 307/7986 is 65391.

LCM(213/41, 307/7986) = 65391

LCM of 213/41, 307/7986

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 213/41,307/7986

Given numbers are 213/41,307/7986

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 213,307

Least Common Multiple of Numerators i.e. LCM of 213,307 is 65391.

GCF of Denominators means GCF of 41,7986 as per the given fractions.

GCF of 41,7986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,307

LCM of Fractions 213/41,307/7986 is 65391

Given numbers has no common factors except 1. So, there LCM is their product i.e 65391

Least Common Multiple of 213,307 with GCF Formula

Least Common Multiple of 213,307 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 213,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,307) = 1

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

GCF(213,307) x common factors =1 x 1 = 1

LCM(213,307) = ( 213 × 307 ) / 1

LCM(213,307) = 65391 / 1

LCM(213,307) = 65391


Lets's calculate GCF of 41,7986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65391/1

Therefore the LCM of Fractions 213/41,307/7986 is 65391

Greatest Common Factor of 41,7986 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,7986 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 7986

List of positive integer factors of 7986 that divides 7986 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986

Greatest Common Factor

We found the factors 41,7986 . The biggest common factor number is the GCF number.
So the greatest common factor 41,7986 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 213/41, 307/7986

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 213/41, 307/7986?

Answer: LCM of Numerators as per given numbers 213/41, 307/7986 is

LCM of Numerators i.e. for 213,307 is 65391

GCF of denominators i.e. for 41,7986 is 1.

Thus, LCM of Fractions is 65391.Finally, LCM of Fractions for 213/41, 307/7986 is 65391.