Least Common Multiple of 68/109, 792/894, 588/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/109, 792/894, 588/155 quickly i.e. 659736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/109, 792/894, 588/155 is 659736.

LCM(68/109, 792/894, 588/155) = 659736

LCM of 68/109, 792/894, 588/155

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 68/109,792/894,588/155

Given numbers are 68/109,792/894,588/155

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 68,792,588

Least Common Multiple of Numerators i.e. LCM of 68,792,588 is 659736.

GCF of Denominators means GCF of 109,894,155 as per the given fractions.

GCF of 109,894,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,792,588

LCM of Fractions 68/109,792/894,588/155 is 659736

2 68, 792, 588
2 34, 396, 294
3 17, 198, 147
17, 66, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 66 x 49 = 659736

Least Common Multiple of 68,792,588 with GCF Formula

Least Common Multiple of 68,792,588 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 68,792,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,792,588) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(68,792,588) x common factors =4 x 12 = 48

LCM(68,792,588) = ( 68 × 792 × 588 ) / 48

LCM(68,792,588) = 31667328 / 48

LCM(68,792,588) = 659736


Lets's calculate GCF of 109,894,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 659736/1

Therefore the LCM of Fractions 68/109,792/894,588/155 is 659736

Greatest Common Factor of 109,894,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,894,155 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 109,894,155 . The biggest common factor number is the GCF number.
So the greatest common factor 109,894,155 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 68/109, 792/894, 588/155

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 68/109, 792/894, 588/155?

Answer: LCM of Numerators as per given numbers 68/109, 792/894, 588/155 is

LCM of Numerators i.e. for 68,792,588 is 659736

GCF of denominators i.e. for 109,894,155 is 1.

Thus, LCM of Fractions is 659736.Finally, LCM of Fractions for 68/109, 792/894, 588/155 is 659736.