Least Common Multiple of 894/36, 2202/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 894/36, 2202/618 quickly i.e. 54683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/36, 2202/618 is 54683.

LCM(894/36, 2202/618) = 54683

LCM of 894/36, 2202/618

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 894/36,2202/618

Given numbers are 894/36,2202/618

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 894,2202

Least Common Multiple of Numerators i.e. LCM of 894,2202 is 328098.

GCF of Denominators means GCF of 36,618 as per the given fractions.

GCF of 36,618 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,2202

LCM of Fractions 894/36,2202/618 is 54683

2 894, 2202
3 447, 1101
149, 367

∴ So the LCM of the given numbers is 2 x 3 x 149 x 367 = 328098

Least Common Multiple of 894,2202 with GCF Formula

Least Common Multiple of 894,2202 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 894,2202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,2202) = 6

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

GCF(894,2202) x common factors =6 x 1 = 6

LCM(894,2202) = ( 894 × 2202 ) / 6

LCM(894,2202) = 1968588 / 6

LCM(894,2202) = 328098


Lets's calculate GCF of 36,618

2 36, 618
3 18, 309
6, 103

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328098/6

Therefore the LCM of Fractions 894/36,2202/618 is 54683

Greatest Common Factor of 36,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,618 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 618

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

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

Greatest Common Factor

We found the factors 36,618 . The biggest common factor number is the GCF number.
So the greatest common factor 36,618 is 6.


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 894/36, 2202/618

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 894/36, 2202/618?

Answer: LCM of Numerators as per given numbers 894/36, 2202/618 is

LCM of Numerators i.e. for 894,2202 is 328098

GCF of denominators i.e. for 36,618 is 6.

Thus, LCM of Fractions is 54683.Finally, LCM of Fractions for 894/36, 2202/618 is 54683.