Least Common Multiple of 568/72, 396/85, 152/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 568/72, 396/85, 152/990 quickly i.e. 1068408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 568/72, 396/85, 152/990 is 1068408.

LCM(568/72, 396/85, 152/990) = 1068408

LCM of 568/72, 396/85, 152/990

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 568/72,396/85,152/990

Given numbers are 568/72,396/85,152/990

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 568,396,152

Least Common Multiple of Numerators i.e. LCM of 568,396,152 is 1068408.

GCF of Denominators means GCF of 72,85,990 as per the given fractions.

GCF of 72,85,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 568,396,152

LCM of Fractions 568/72,396/85,152/990 is 1068408

2 568, 396, 152
2 284, 198, 76
2 142, 99, 38
71, 99, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 99 x 19 = 1068408

Least Common Multiple of 568,396,152 with GCF Formula

Least Common Multiple of 568,396,152 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 568,396,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,396,152) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(568,396,152) x common factors =4 x 8 = 32

LCM(568,396,152) = ( 568 × 396 × 152 ) / 32

LCM(568,396,152) = 34189056 / 32

LCM(568,396,152) = 1068408


Lets's calculate GCF of 72,85,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1068408/1

Therefore the LCM of Fractions 568/72,396/85,152/990 is 1068408

Greatest Common Factor of 72,85,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,85,990 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

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 72,85,990 . The biggest common factor number is the GCF number.
So the greatest common factor 72,85,990 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 568/72, 396/85, 152/990

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 568/72, 396/85, 152/990?

Answer: LCM of Numerators as per given numbers 568/72, 396/85, 152/990 is

LCM of Numerators i.e. for 568,396,152 is 1068408

GCF of denominators i.e. for 72,85,990 is 1.

Thus, LCM of Fractions is 1068408.Finally, LCM of Fractions for 568/72, 396/85, 152/990 is 1068408.