Least Common Multiple of 2931/558, 8275/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2931/558, 8275/990 quickly i.e. 24254025/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2931/558, 8275/990 is 24254025/18.

LCM(2931/558, 8275/990) = 24254025/18

LCM of 2931/558, 8275/990

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 2931/558,8275/990

Given numbers are 2931/558,8275/990

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 2931,8275

Least Common Multiple of Numerators i.e. LCM of 2931,8275 is 24254025.

GCF of Denominators means GCF of 558,990 as per the given fractions.

GCF of 558,990 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2931,8275

LCM of Fractions 2931/558,8275/990 is 24254025/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 24254025

Least Common Multiple of 2931,8275 with GCF Formula

Least Common Multiple of 2931,8275 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 2931,8275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2931,8275) = 1

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

GCF(2931,8275) x common factors =1 x 1 = 1

LCM(2931,8275) = ( 2931 × 8275 ) / 1

LCM(2931,8275) = 24254025 / 1

LCM(2931,8275) = 24254025


Lets's calculate GCF of 558,990

2 558, 990
3 279, 495
3 93, 165
31, 55

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24254025/18

Therefore the LCM of Fractions 2931/558,8275/990 is 24254025/18

Greatest Common Factor of 558,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,990 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 558,990 . The biggest common factor number is the GCF number.
So the greatest common factor 558,990 is 18.


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 2931/558, 8275/990

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 2931/558, 8275/990?

Answer: LCM of Numerators as per given numbers 2931/558, 8275/990 is

LCM of Numerators i.e. for 2931,8275 is 24254025

GCF of denominators i.e. for 558,990 is 18.

Thus, LCM of Fractions is 24254025/18.Finally, LCM of Fractions for 2931/558, 8275/990 is 24254025/18.