Least Common Multiple of 159/70, 312/79, 738/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 159/70, 312/79, 738/11 quickly i.e. 2033928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 159/70, 312/79, 738/11 is 2033928.

LCM(159/70, 312/79, 738/11) = 2033928

LCM of 159/70, 312/79, 738/11

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 159/70,312/79,738/11

Given numbers are 159/70,312/79,738/11

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 159,312,738

Least Common Multiple of Numerators i.e. LCM of 159,312,738 is 2033928.

GCF of Denominators means GCF of 70,79,11 as per the given fractions.

GCF of 70,79,11 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 159,312,738

LCM of Fractions 159/70,312/79,738/11 is 2033928

2 159, 312, 738
3 159, 156, 369
53, 52, 123

∴ So the LCM of the given numbers is 2 x 3 x 53 x 52 x 123 = 2033928

Least Common Multiple of 159,312,738 with GCF Formula

Least Common Multiple of 159,312,738 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 159,312,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,312,738) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(159,312,738) x common factors =3 x 6 = 18

LCM(159,312,738) = ( 159 × 312 × 738 ) / 18

LCM(159,312,738) = 36610704 / 18

LCM(159,312,738) = 2033928


Lets's calculate GCF of 70,79,11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2033928/1

Therefore the LCM of Fractions 159/70,312/79,738/11 is 2033928

Greatest Common Factor of 70,79,11 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,79,11 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Greatest Common Factor

We found the factors 70,79,11 . The biggest common factor number is the GCF number.
So the greatest common factor 70,79,11 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 159/70, 312/79, 738/11

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 159/70, 312/79, 738/11?

Answer: LCM of Numerators as per given numbers 159/70, 312/79, 738/11 is

LCM of Numerators i.e. for 159,312,738 is 2033928

GCF of denominators i.e. for 70,79,11 is 1.

Thus, LCM of Fractions is 2033928.Finally, LCM of Fractions for 159/70, 312/79, 738/11 is 2033928.