Least Common Multiple of 21/568, 69/288, 767/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/568, 69/288, 767/152 quickly i.e. 370461/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/568, 69/288, 767/152 is 370461/8.

LCM(21/568, 69/288, 767/152) = 370461/8

LCM of 21/568, 69/288, 767/152

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 21/568,69/288,767/152

Given numbers are 21/568,69/288,767/152

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 21,69,767

Least Common Multiple of Numerators i.e. LCM of 21,69,767 is 370461.

GCF of Denominators means GCF of 568,288,152 as per the given fractions.

GCF of 568,288,152 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,69,767

LCM of Fractions 21/568,69/288,767/152 is 370461/8

3 21, 69, 767
7, 23, 767

∴ So the LCM of the given numbers is 3 x 7 x 23 x 767 = 370461

Least Common Multiple of 21,69,767 with GCF Formula

Least Common Multiple of 21,69,767 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 21,69,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,69,767) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,69,767) x common factors =1 x 3 = 3

LCM(21,69,767) = ( 21 × 69 × 767 ) / 3

LCM(21,69,767) = 1111383 / 3

LCM(21,69,767) = 370461


Lets's calculate GCF of 568,288,152

2 568, 288, 152
2 284, 144, 76
2 142, 72, 38
71, 36, 19

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 370461/8

Therefore the LCM of Fractions 21/568,69/288,767/152 is 370461/8

Greatest Common Factor of 568,288,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,288,152 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 568,288,152 . The biggest common factor number is the GCF number.
So the greatest common factor 568,288,152 is 8.


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 21/568, 69/288, 767/152

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 21/568, 69/288, 767/152?

Answer: LCM of Numerators as per given numbers 21/568, 69/288, 767/152 is

LCM of Numerators i.e. for 21,69,767 is 370461

GCF of denominators i.e. for 568,288,152 is 8.

Thus, LCM of Fractions is 370461/8.Finally, LCM of Fractions for 21/568, 69/288, 767/152 is 370461/8.