Least Common Multiple of 4608/555, 6756/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4608/555, 6756/370 quickly i.e. 2594304/185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4608/555, 6756/370 is 2594304/185.

LCM(4608/555, 6756/370) = 2594304/185

LCM of 4608/555, 6756/370

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 4608/555,6756/370

Given numbers are 4608/555,6756/370

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 4608,6756

Least Common Multiple of Numerators i.e. LCM of 4608,6756 is 2594304.

GCF of Denominators means GCF of 555,370 as per the given fractions.

GCF of 555,370 is 185 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4608,6756

LCM of Fractions 4608/555,6756/370 is 2594304/185

2 4608, 6756
2 2304, 3378
3 1152, 1689
384, 563

∴ So the LCM of the given numbers is 2 x 2 x 3 x 384 x 563 = 2594304

Least Common Multiple of 4608,6756 with GCF Formula

Least Common Multiple of 4608,6756 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 4608,6756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4608,6756) = 12

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

GCF(4608,6756) x common factors =12 x 1 = 12

LCM(4608,6756) = ( 4608 × 6756 ) / 12

LCM(4608,6756) = 31131648 / 12

LCM(4608,6756) = 2594304


Lets's calculate GCF of 555,370

5 555, 370
37 111, 74
3, 2

∴ So the GCF of the given numbers is 5 x 37 = 185

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2594304/185

Therefore the LCM of Fractions 4608/555,6756/370 is 2594304/185

Greatest Common Factor of 555,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,370 By Matching Biggest Common Factor Method

Factors of 555

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

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

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 555,370 . The biggest common factor number is the GCF number.
So the greatest common factor 555,370 is 185.


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 4608/555, 6756/370

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 4608/555, 6756/370?

Answer: LCM of Numerators as per given numbers 4608/555, 6756/370 is

LCM of Numerators i.e. for 4608,6756 is 2594304

GCF of denominators i.e. for 555,370 is 185.

Thus, LCM of Fractions is 2594304/185.Finally, LCM of Fractions for 4608/555, 6756/370 is 2594304/185.