Least Common Multiple of 89/12, 12/96, 90/83, 89/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/12, 12/96, 90/83, 89/941 quickly i.e. 16020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/12, 12/96, 90/83, 89/941 is 16020.

LCM(89/12, 12/96, 90/83, 89/941) = 16020

LCM of 89/12, 12/96, 90/83, 89/941

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 89/12,12/96,90/83,89/941

Given numbers are 89/12,12/96,90/83,89/941

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 89,12,90,89

Least Common Multiple of Numerators i.e. LCM of 89,12,90,89 is 16020.

GCF of Denominators means GCF of 12,96,83,941 as per the given fractions.

GCF of 12,96,83,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,12,90,89

LCM of Fractions 89/12,12/96,90/83,89/941 is 16020

2 89, 12, 90, 89
3 89, 6, 45, 89
89 89, 2, 15, 89
1, 2, 15, 1

∴ So the LCM of the given numbers is 2 x 3 x 89 x 1 x 2 x 15 x 1 = 16020

Least Common Multiple of 89,12,90,89 with GCF Formula

Least Common Multiple of 89,12,90,89 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 89,12,90,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,12,90,89) = 1

common factors(in case of two or more numbers have common factors) = 534

GCF(89,12,90,89) x common factors =1 x 534 = 534

LCM(89,12,90,89) = ( 89 × 12 × 90 × 89 ) / 534

LCM(89,12,90,89) = 8554680 / 534

LCM(89,12,90,89) = 16020


Lets's calculate GCF of 12,96,83,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16020/1

Therefore the LCM of Fractions 89/12,12/96,90/83,89/941 is 16020

Greatest Common Factor of 12,96,83,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,96,83,941 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 12,96,83,941 . The biggest common factor number is the GCF number.
So the greatest common factor 12,96,83,941 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 89/12, 12/96, 90/83, 89/941

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 89/12, 12/96, 90/83, 89/941?

Answer: LCM of Numerators as per given numbers 89/12, 12/96, 90/83, 89/941 is

LCM of Numerators i.e. for 89,12,90,89 is 16020

GCF of denominators i.e. for 12,96,83,941 is 1.

Thus, LCM of Fractions is 16020.Finally, LCM of Fractions for 89/12, 12/96, 90/83, 89/941 is 16020.