Least Common Multiple of 4080/23, 7674/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4080/23, 7674/555 quickly i.e. 5218320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4080/23, 7674/555 is 5218320.

LCM(4080/23, 7674/555) = 5218320

LCM of 4080/23, 7674/555

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 4080/23,7674/555

Given numbers are 4080/23,7674/555

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 4080,7674

Least Common Multiple of Numerators i.e. LCM of 4080,7674 is 5218320.

GCF of Denominators means GCF of 23,555 as per the given fractions.

GCF of 23,555 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4080,7674

LCM of Fractions 4080/23,7674/555 is 5218320

2 4080, 7674
3 2040, 3837
680, 1279

∴ So the LCM of the given numbers is 2 x 3 x 680 x 1279 = 5218320

Least Common Multiple of 4080,7674 with GCF Formula

Least Common Multiple of 4080,7674 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 4080,7674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4080,7674) = 6

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

GCF(4080,7674) x common factors =6 x 1 = 6

LCM(4080,7674) = ( 4080 × 7674 ) / 6

LCM(4080,7674) = 31309920 / 6

LCM(4080,7674) = 5218320


Lets's calculate GCF of 23,555

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5218320/1

Therefore the LCM of Fractions 4080/23,7674/555 is 5218320

Greatest Common Factor of 23,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,555 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 23,555 . The biggest common factor number is the GCF number.
So the greatest common factor 23,555 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 4080/23, 7674/555

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 4080/23, 7674/555?

Answer: LCM of Numerators as per given numbers 4080/23, 7674/555 is

LCM of Numerators i.e. for 4080,7674 is 5218320

GCF of denominators i.e. for 23,555 is 1.

Thus, LCM of Fractions is 5218320.Finally, LCM of Fractions for 4080/23, 7674/555 is 5218320.