Least Common Multiple of 99/83, 68/91, 40/70, 90/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/83, 68/91, 40/70, 90/768 quickly i.e. 67320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/83, 68/91, 40/70, 90/768 is 67320.

LCM(99/83, 68/91, 40/70, 90/768) = 67320

LCM of 99/83, 68/91, 40/70, 90/768

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 99/83,68/91,40/70,90/768

Given numbers are 99/83,68/91,40/70,90/768

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 99,68,40,90

Least Common Multiple of Numerators i.e. LCM of 99,68,40,90 is 67320.

GCF of Denominators means GCF of 83,91,70,768 as per the given fractions.

GCF of 83,91,70,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,68,40,90

LCM of Fractions 99/83,68/91,40/70,90/768 is 67320

2 99, 68, 40, 90
2 99, 34, 20, 45
3 99, 17, 10, 45
3 33, 17, 10, 15
5 11, 17, 10, 5
11, 17, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 11 x 17 x 2 x 1 = 67320

Least Common Multiple of 99,68,40,90 with GCF Formula

Least Common Multiple of 99,68,40,90 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 99,68,40,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,68,40,90) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(99,68,40,90) x common factors =1 x 360 = 360

LCM(99,68,40,90) = ( 99 × 68 × 40 × 90 ) / 360

LCM(99,68,40,90) = 24235200 / 360

LCM(99,68,40,90) = 67320


Lets's calculate GCF of 83,91,70,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67320/1

Therefore the LCM of Fractions 99/83,68/91,40/70,90/768 is 67320

Greatest Common Factor of 83,91,70,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,91,70,768 By Matching Biggest Common Factor Method

Factors of 83

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

1,83

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 83,91,70,768 . The biggest common factor number is the GCF number.
So the greatest common factor 83,91,70,768 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 99/83, 68/91, 40/70, 90/768

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 99/83, 68/91, 40/70, 90/768?

Answer: LCM of Numerators as per given numbers 99/83, 68/91, 40/70, 90/768 is

LCM of Numerators i.e. for 99,68,40,90 is 67320

GCF of denominators i.e. for 83,91,70,768 is 1.

Thus, LCM of Fractions is 67320.Finally, LCM of Fractions for 99/83, 68/91, 40/70, 90/768 is 67320.