Least Common Multiple of 15/73, 70/39, 57/90, 96/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/73, 70/39, 57/90, 96/833 quickly i.e. 63840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/73, 70/39, 57/90, 96/833 is 63840.

LCM(15/73, 70/39, 57/90, 96/833) = 63840

LCM of 15/73, 70/39, 57/90, 96/833

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 15/73,70/39,57/90,96/833

Given numbers are 15/73,70/39,57/90,96/833

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 15,70,57,96

Least Common Multiple of Numerators i.e. LCM of 15,70,57,96 is 63840.

GCF of Denominators means GCF of 73,39,90,833 as per the given fractions.

GCF of 73,39,90,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,70,57,96

LCM of Fractions 15/73,70/39,57/90,96/833 is 63840

2 15, 70, 57, 96
3 15, 35, 57, 48
5 5, 35, 19, 16
1, 7, 19, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 7 x 19 x 16 = 63840

Least Common Multiple of 15,70,57,96 with GCF Formula

Least Common Multiple of 15,70,57,96 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 15,70,57,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,70,57,96) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(15,70,57,96) x common factors =1 x 90 = 90

LCM(15,70,57,96) = ( 15 × 70 × 57 × 96 ) / 90

LCM(15,70,57,96) = 5745600 / 90

LCM(15,70,57,96) = 63840


Lets's calculate GCF of 73,39,90,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63840/1

Therefore the LCM of Fractions 15/73,70/39,57/90,96/833 is 63840

Greatest Common Factor of 73,39,90,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,39,90,833 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 73,39,90,833 . The biggest common factor number is the GCF number.
So the greatest common factor 73,39,90,833 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 15/73, 70/39, 57/90, 96/833

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 15/73, 70/39, 57/90, 96/833?

Answer: LCM of Numerators as per given numbers 15/73, 70/39, 57/90, 96/833 is

LCM of Numerators i.e. for 15,70,57,96 is 63840

GCF of denominators i.e. for 73,39,90,833 is 1.

Thus, LCM of Fractions is 63840.Finally, LCM of Fractions for 15/73, 70/39, 57/90, 96/833 is 63840.