Least Common Multiple of 450/68, 201/75, 649/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/68, 201/75, 649/299 quickly i.e. 19567350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/68, 201/75, 649/299 is 19567350.

LCM(450/68, 201/75, 649/299) = 19567350

LCM of 450/68, 201/75, 649/299

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 450/68,201/75,649/299

Given numbers are 450/68,201/75,649/299

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 450,201,649

Least Common Multiple of Numerators i.e. LCM of 450,201,649 is 19567350.

GCF of Denominators means GCF of 68,75,299 as per the given fractions.

GCF of 68,75,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,201,649

LCM of Fractions 450/68,201/75,649/299 is 19567350

3 450, 201, 649
150, 67, 649

∴ So the LCM of the given numbers is 3 x 150 x 67 x 649 = 19567350

Least Common Multiple of 450,201,649 with GCF Formula

Least Common Multiple of 450,201,649 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 450,201,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,201,649) = 1

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

GCF(450,201,649) x common factors =1 x 3 = 3

LCM(450,201,649) = ( 450 × 201 × 649 ) / 3

LCM(450,201,649) = 58702050 / 3

LCM(450,201,649) = 19567350


Lets's calculate GCF of 68,75,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19567350/1

Therefore the LCM of Fractions 450/68,201/75,649/299 is 19567350

Greatest Common Factor of 68,75,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,75,299 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 68,75,299 . The biggest common factor number is the GCF number.
So the greatest common factor 68,75,299 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 450/68, 201/75, 649/299

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 450/68, 201/75, 649/299?

Answer: LCM of Numerators as per given numbers 450/68, 201/75, 649/299 is

LCM of Numerators i.e. for 450,201,649 is 19567350

GCF of denominators i.e. for 68,75,299 is 1.

Thus, LCM of Fractions is 19567350.Finally, LCM of Fractions for 450/68, 201/75, 649/299 is 19567350.