Least Common Multiple of 1655/30, 9456/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1655/30, 9456/588 quickly i.e. 2608280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1655/30, 9456/588 is 2608280.

LCM(1655/30, 9456/588) = 2608280

LCM of 1655/30, 9456/588

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 1655/30,9456/588

Given numbers are 1655/30,9456/588

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 1655,9456

Least Common Multiple of Numerators i.e. LCM of 1655,9456 is 15649680.

GCF of Denominators means GCF of 30,588 as per the given fractions.

GCF of 30,588 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1655,9456

LCM of Fractions 1655/30,9456/588 is 2608280

Given numbers has no common factors except 1. So, there LCM is their product i.e 15649680

Least Common Multiple of 1655,9456 with GCF Formula

Least Common Multiple of 1655,9456 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 1655,9456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1655,9456) = 1

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

GCF(1655,9456) x common factors =1 x 1 = 1

LCM(1655,9456) = ( 1655 × 9456 ) / 1

LCM(1655,9456) = 15649680 / 1

LCM(1655,9456) = 15649680


Lets's calculate GCF of 30,588

2 30, 588
3 15, 294
5, 98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15649680/6

Therefore the LCM of Fractions 1655/30,9456/588 is 2608280

Greatest Common Factor of 30,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,588 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 30,588 . The biggest common factor number is the GCF number.
So the greatest common factor 30,588 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 1655/30, 9456/588

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 1655/30, 9456/588?

Answer: LCM of Numerators as per given numbers 1655/30, 9456/588 is

LCM of Numerators i.e. for 1655,9456 is 15649680

GCF of denominators i.e. for 30,588 is 6.

Thus, LCM of Fractions is 2608280.Finally, LCM of Fractions for 1655/30, 9456/588 is 2608280.