Least Common Multiple of 2959/972, 5948/8586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2959/972, 5948/8586 quickly i.e. 17600132/162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2959/972, 5948/8586 is 17600132/162.

LCM(2959/972, 5948/8586) = 17600132/162

LCM of 2959/972, 5948/8586

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 2959/972,5948/8586

Given numbers are 2959/972,5948/8586

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 2959,5948

Least Common Multiple of Numerators i.e. LCM of 2959,5948 is 17600132.

GCF of Denominators means GCF of 972,8586 as per the given fractions.

GCF of 972,8586 is 162 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2959,5948

LCM of Fractions 2959/972,5948/8586 is 17600132/162

Given numbers has no common factors except 1. So, there LCM is their product i.e 17600132

Least Common Multiple of 2959,5948 with GCF Formula

Least Common Multiple of 2959,5948 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 2959,5948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2959,5948) = 1

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

GCF(2959,5948) x common factors =1 x 1 = 1

LCM(2959,5948) = ( 2959 × 5948 ) / 1

LCM(2959,5948) = 17600132 / 1

LCM(2959,5948) = 17600132


Lets's calculate GCF of 972,8586

2 972, 8586
3 486, 4293
3 162, 1431
3 54, 477
3 18, 159
6, 53

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 3 = 162

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17600132/162

Therefore the LCM of Fractions 2959/972,5948/8586 is 17600132/162

Greatest Common Factor of 972,8586 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,8586 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 8586

List of positive integer factors of 8586 that divides 8586 without a remainder.

1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586

Greatest Common Factor

We found the factors 972,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 972,8586 is 162.


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 2959/972, 5948/8586

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 2959/972, 5948/8586?

Answer: LCM of Numerators as per given numbers 2959/972, 5948/8586 is

LCM of Numerators i.e. for 2959,5948 is 17600132

GCF of denominators i.e. for 972,8586 is 162.

Thus, LCM of Fractions is 17600132/162.Finally, LCM of Fractions for 2959/972, 5948/8586 is 17600132/162.