Least Common Multiple of 36/578, 99/104, 694/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/578, 99/104, 694/645 quickly i.e. 137412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/578, 99/104, 694/645 is 137412.

LCM(36/578, 99/104, 694/645) = 137412

LCM of 36/578, 99/104, 694/645

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 36/578,99/104,694/645

Given numbers are 36/578,99/104,694/645

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 36,99,694

Least Common Multiple of Numerators i.e. LCM of 36,99,694 is 137412.

GCF of Denominators means GCF of 578,104,645 as per the given fractions.

GCF of 578,104,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,99,694

LCM of Fractions 36/578,99/104,694/645 is 137412

2 36, 99, 694
3 18, 99, 347
3 6, 33, 347
2, 11, 347

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 11 x 347 = 137412

Least Common Multiple of 36,99,694 with GCF Formula

Least Common Multiple of 36,99,694 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 36,99,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,99,694) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(36,99,694) x common factors =1 x 18 = 18

LCM(36,99,694) = ( 36 × 99 × 694 ) / 18

LCM(36,99,694) = 2473416 / 18

LCM(36,99,694) = 137412


Lets's calculate GCF of 578,104,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137412/1

Therefore the LCM of Fractions 36/578,99/104,694/645 is 137412

Greatest Common Factor of 578,104,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,104,645 By Matching Biggest Common Factor Method

Factors of 578

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

1,2,17,34,289,578

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 578,104,645 . The biggest common factor number is the GCF number.
So the greatest common factor 578,104,645 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 36/578, 99/104, 694/645

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 36/578, 99/104, 694/645?

Answer: LCM of Numerators as per given numbers 36/578, 99/104, 694/645 is

LCM of Numerators i.e. for 36,99,694 is 137412

GCF of denominators i.e. for 578,104,645 is 1.

Thus, LCM of Fractions is 137412.Finally, LCM of Fractions for 36/578, 99/104, 694/645 is 137412.