Least Common Multiple of 36/80, 74/578, 159/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/80, 74/578, 159/614 quickly i.e. 35298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/80, 74/578, 159/614 is 35298.

LCM(36/80, 74/578, 159/614) = 35298

LCM of 36/80, 74/578, 159/614

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 36/80,74/578,159/614

Given numbers are 36/80,74/578,159/614

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 36,74,159

Least Common Multiple of Numerators i.e. LCM of 36,74,159 is 70596.

GCF of Denominators means GCF of 80,578,614 as per the given fractions.

GCF of 80,578,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,74,159

LCM of Fractions 36/80,74/578,159/614 is 35298

2 36, 74, 159
3 18, 37, 159
6, 37, 53

∴ So the LCM of the given numbers is 2 x 3 x 6 x 37 x 53 = 70596

Least Common Multiple of 36,74,159 with GCF Formula

Least Common Multiple of 36,74,159 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 36,74,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,74,159) = 1

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

GCF(36,74,159) x common factors =1 x 6 = 6

LCM(36,74,159) = ( 36 × 74 × 159 ) / 6

LCM(36,74,159) = 423576 / 6

LCM(36,74,159) = 70596


Lets's calculate GCF of 80,578,614

2 80, 578, 614
40, 289, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70596/2

Therefore the LCM of Fractions 36/80,74/578,159/614 is 35298

Greatest Common Factor of 80,578,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,578,614 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 80,578,614 . The biggest common factor number is the GCF number.
So the greatest common factor 80,578,614 is 2.


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 36/80, 74/578, 159/614

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 36/80, 74/578, 159/614?

Answer: LCM of Numerators as per given numbers 36/80, 74/578, 159/614 is

LCM of Numerators i.e. for 36,74,159 is 70596

GCF of denominators i.e. for 80,578,614 is 2.

Thus, LCM of Fractions is 35298.Finally, LCM of Fractions for 36/80, 74/578, 159/614 is 35298.