Least Common Multiple of 84/418, 9812/7369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/418, 9812/7369 quickly i.e. 206052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/418, 9812/7369 is 206052.

LCM(84/418, 9812/7369) = 206052

LCM of 84/418, 9812/7369

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 84/418,9812/7369

Given numbers are 84/418,9812/7369

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 84,9812

Least Common Multiple of Numerators i.e. LCM of 84,9812 is 206052.

GCF of Denominators means GCF of 418,7369 as per the given fractions.

GCF of 418,7369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,9812

LCM of Fractions 84/418,9812/7369 is 206052

2 84, 9812
2 42, 4906
21, 2453

∴ So the LCM of the given numbers is 2 x 2 x 21 x 2453 = 206052

Least Common Multiple of 84,9812 with GCF Formula

Least Common Multiple of 84,9812 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 84,9812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,9812) = 4

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

GCF(84,9812) x common factors =4 x 1 = 4

LCM(84,9812) = ( 84 × 9812 ) / 4

LCM(84,9812) = 824208 / 4

LCM(84,9812) = 206052


Lets's calculate GCF of 418,7369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206052/1

Therefore the LCM of Fractions 84/418,9812/7369 is 206052

Greatest Common Factor of 418,7369 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,7369 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 7369

List of positive integer factors of 7369 that divides 7369 without a remainder.

1,7369

Greatest Common Factor

We found the factors 418,7369 . The biggest common factor number is the GCF number.
So the greatest common factor 418,7369 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 84/418, 9812/7369

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 84/418, 9812/7369?

Answer: LCM of Numerators as per given numbers 84/418, 9812/7369 is

LCM of Numerators i.e. for 84,9812 is 206052

GCF of denominators i.e. for 418,7369 is 1.

Thus, LCM of Fractions is 206052.Finally, LCM of Fractions for 84/418, 9812/7369 is 206052.