Least Common Multiple of 450/99, 157/85, 159/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/99, 157/85, 159/663 quickly i.e. 3744450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/99, 157/85, 159/663 is 3744450.

LCM(450/99, 157/85, 159/663) = 3744450

LCM of 450/99, 157/85, 159/663

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 450/99,157/85,159/663

Given numbers are 450/99,157/85,159/663

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 450,157,159

Least Common Multiple of Numerators i.e. LCM of 450,157,159 is 3744450.

GCF of Denominators means GCF of 99,85,663 as per the given fractions.

GCF of 99,85,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,157,159

LCM of Fractions 450/99,157/85,159/663 is 3744450

3 450, 157, 159
150, 157, 53

∴ So the LCM of the given numbers is 3 x 150 x 157 x 53 = 3744450

Least Common Multiple of 450,157,159 with GCF Formula

Least Common Multiple of 450,157,159 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 450,157,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,157,159) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(450,157,159) x common factors =1 x 3 = 3

LCM(450,157,159) = ( 450 × 157 × 159 ) / 3

LCM(450,157,159) = 11233350 / 3

LCM(450,157,159) = 3744450


Lets's calculate GCF of 99,85,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3744450/1

Therefore the LCM of Fractions 450/99,157/85,159/663 is 3744450

Greatest Common Factor of 99,85,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,85,663 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 99,85,663 . The biggest common factor number is the GCF number.
So the greatest common factor 99,85,663 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 450/99, 157/85, 159/663

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 450/99, 157/85, 159/663?

Answer: LCM of Numerators as per given numbers 450/99, 157/85, 159/663 is

LCM of Numerators i.e. for 450,157,159 is 3744450

GCF of denominators i.e. for 99,85,663 is 1.

Thus, LCM of Fractions is 3744450.Finally, LCM of Fractions for 450/99, 157/85, 159/663 is 3744450.