Least Common Multiple of 36/450, 106/616, 147/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/450, 106/616, 147/427 quickly i.e. 93492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/450, 106/616, 147/427 is 93492.

LCM(36/450, 106/616, 147/427) = 93492

LCM of 36/450, 106/616, 147/427

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 36/450,106/616,147/427

Given numbers are 36/450,106/616,147/427

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 36,106,147

Least Common Multiple of Numerators i.e. LCM of 36,106,147 is 93492.

GCF of Denominators means GCF of 450,616,427 as per the given fractions.

GCF of 450,616,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,106,147

LCM of Fractions 36/450,106/616,147/427 is 93492

2 36, 106, 147
3 18, 53, 147
6, 53, 49

∴ So the LCM of the given numbers is 2 x 3 x 6 x 53 x 49 = 93492

Least Common Multiple of 36,106,147 with GCF Formula

Least Common Multiple of 36,106,147 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 36,106,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,106,147) = 1

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

GCF(36,106,147) x common factors =1 x 6 = 6

LCM(36,106,147) = ( 36 × 106 × 147 ) / 6

LCM(36,106,147) = 560952 / 6

LCM(36,106,147) = 93492


Lets's calculate GCF of 450,616,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93492/1

Therefore the LCM of Fractions 36/450,106/616,147/427 is 93492

Greatest Common Factor of 450,616,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,616,427 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 450,616,427 . The biggest common factor number is the GCF number.
So the greatest common factor 450,616,427 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 36/450, 106/616, 147/427

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 36/450, 106/616, 147/427?

Answer: LCM of Numerators as per given numbers 36/450, 106/616, 147/427 is

LCM of Numerators i.e. for 36,106,147 is 93492

GCF of denominators i.e. for 450,616,427 is 1.

Thus, LCM of Fractions is 93492.Finally, LCM of Fractions for 36/450, 106/616, 147/427 is 93492.