Least Common Multiple of 76/536, 160/909, 281/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/536, 160/909, 281/192 quickly i.e. 854240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/536, 160/909, 281/192 is 854240.

LCM(76/536, 160/909, 281/192) = 854240

LCM of 76/536, 160/909, 281/192

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 76/536,160/909,281/192

Given numbers are 76/536,160/909,281/192

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 76,160,281

Least Common Multiple of Numerators i.e. LCM of 76,160,281 is 854240.

GCF of Denominators means GCF of 536,909,192 as per the given fractions.

GCF of 536,909,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,160,281

LCM of Fractions 76/536,160/909,281/192 is 854240

2 76, 160, 281
2 38, 80, 281
19, 40, 281

∴ So the LCM of the given numbers is 2 x 2 x 19 x 40 x 281 = 854240

Least Common Multiple of 76,160,281 with GCF Formula

Least Common Multiple of 76,160,281 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 76,160,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,160,281) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,160,281) x common factors =1 x 4 = 4

LCM(76,160,281) = ( 76 × 160 × 281 ) / 4

LCM(76,160,281) = 3416960 / 4

LCM(76,160,281) = 854240


Lets's calculate GCF of 536,909,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 854240/1

Therefore the LCM of Fractions 76/536,160/909,281/192 is 854240

Greatest Common Factor of 536,909,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,909,192 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 536,909,192 . The biggest common factor number is the GCF number.
So the greatest common factor 536,909,192 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 76/536, 160/909, 281/192

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 76/536, 160/909, 281/192?

Answer: LCM of Numerators as per given numbers 76/536, 160/909, 281/192 is

LCM of Numerators i.e. for 76,160,281 is 854240

GCF of denominators i.e. for 536,909,192 is 1.

Thus, LCM of Fractions is 854240.Finally, LCM of Fractions for 76/536, 160/909, 281/192 is 854240.