Least Common Multiple of 15/159, 422/729, 350/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/159, 422/729, 350/894 quickly i.e. 73850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/159, 422/729, 350/894 is 73850.

LCM(15/159, 422/729, 350/894) = 73850

LCM of 15/159, 422/729, 350/894

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 15/159,422/729,350/894

Given numbers are 15/159,422/729,350/894

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 15,422,350

Least Common Multiple of Numerators i.e. LCM of 15,422,350 is 221550.

GCF of Denominators means GCF of 159,729,894 as per the given fractions.

GCF of 159,729,894 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,422,350

LCM of Fractions 15/159,422/729,350/894 is 73850

2 15, 422, 350
5 15, 211, 175
3, 211, 35

∴ So the LCM of the given numbers is 2 x 5 x 3 x 211 x 35 = 221550

Least Common Multiple of 15,422,350 with GCF Formula

Least Common Multiple of 15,422,350 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 15,422,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,422,350) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(15,422,350) x common factors =1 x 10 = 10

LCM(15,422,350) = ( 15 × 422 × 350 ) / 10

LCM(15,422,350) = 2215500 / 10

LCM(15,422,350) = 221550


Lets's calculate GCF of 159,729,894

3 159, 729, 894
53, 243, 298

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221550/3

Therefore the LCM of Fractions 15/159,422/729,350/894 is 73850

Greatest Common Factor of 159,729,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,729,894 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 894

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

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

Greatest Common Factor

We found the factors 159,729,894 . The biggest common factor number is the GCF number.
So the greatest common factor 159,729,894 is 3.


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 15/159, 422/729, 350/894

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 15/159, 422/729, 350/894?

Answer: LCM of Numerators as per given numbers 15/159, 422/729, 350/894 is

LCM of Numerators i.e. for 15,422,350 is 221550

GCF of denominators i.e. for 159,729,894 is 3.

Thus, LCM of Fractions is 73850.Finally, LCM of Fractions for 15/159, 422/729, 350/894 is 73850.