Least Common Multiple of 4360/204, 4122/2667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4360/204, 4122/2667 quickly i.e. 2995320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4360/204, 4122/2667 is 2995320.

LCM(4360/204, 4122/2667) = 2995320

LCM of 4360/204, 4122/2667

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 4360/204,4122/2667

Given numbers are 4360/204,4122/2667

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 4360,4122

Least Common Multiple of Numerators i.e. LCM of 4360,4122 is 8985960.

GCF of Denominators means GCF of 204,2667 as per the given fractions.

GCF of 204,2667 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4360,4122

LCM of Fractions 4360/204,4122/2667 is 2995320

2 4360, 4122
2180, 2061

∴ So the LCM of the given numbers is 2 x 2180 x 2061 = 8985960

Least Common Multiple of 4360,4122 with GCF Formula

Least Common Multiple of 4360,4122 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 4360,4122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4360,4122) = 2

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

GCF(4360,4122) x common factors =2 x 1 = 2

LCM(4360,4122) = ( 4360 × 4122 ) / 2

LCM(4360,4122) = 17971920 / 2

LCM(4360,4122) = 8985960


Lets's calculate GCF of 204,2667

3 204, 2667
68, 889

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8985960/3

Therefore the LCM of Fractions 4360/204,4122/2667 is 2995320

Greatest Common Factor of 204,2667 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,2667 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 2667

List of positive integer factors of 2667 that divides 2667 without a remainder.

1,3,7,21,127,381,889,2667

Greatest Common Factor

We found the factors 204,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 204,2667 is 3.


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 4360/204, 4122/2667

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 4360/204, 4122/2667?

Answer: LCM of Numerators as per given numbers 4360/204, 4122/2667 is

LCM of Numerators i.e. for 4360,4122 is 8985960

GCF of denominators i.e. for 204,2667 is 3.

Thus, LCM of Fractions is 2995320.Finally, LCM of Fractions for 4360/204, 4122/2667 is 2995320.