Least Common Multiple of 8674/618, 2700/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8674/618, 2700/404 quickly i.e. 5854950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8674/618, 2700/404 is 5854950.

LCM(8674/618, 2700/404) = 5854950

LCM of 8674/618, 2700/404

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 8674/618,2700/404

Given numbers are 8674/618,2700/404

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 8674,2700

Least Common Multiple of Numerators i.e. LCM of 8674,2700 is 11709900.

GCF of Denominators means GCF of 618,404 as per the given fractions.

GCF of 618,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8674,2700

LCM of Fractions 8674/618,2700/404 is 5854950

2 8674, 2700
4337, 1350

∴ So the LCM of the given numbers is 2 x 4337 x 1350 = 11709900

Least Common Multiple of 8674,2700 with GCF Formula

Least Common Multiple of 8674,2700 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 8674,2700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8674,2700) = 2

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

GCF(8674,2700) x common factors =2 x 1 = 2

LCM(8674,2700) = ( 8674 × 2700 ) / 2

LCM(8674,2700) = 23419800 / 2

LCM(8674,2700) = 11709900


Lets's calculate GCF of 618,404

2 618, 404
309, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11709900/2

Therefore the LCM of Fractions 8674/618,2700/404 is 5854950

Greatest Common Factor of 618,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,404 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 618,404 . The biggest common factor number is the GCF number.
So the greatest common factor 618,404 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 8674/618, 2700/404

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 8674/618, 2700/404?

Answer: LCM of Numerators as per given numbers 8674/618, 2700/404 is

LCM of Numerators i.e. for 8674,2700 is 11709900

GCF of denominators i.e. for 618,404 is 2.

Thus, LCM of Fractions is 5854950.Finally, LCM of Fractions for 8674/618, 2700/404 is 5854950.