Least Common Multiple of 450/414, 3663/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/414, 3663/713 quickly i.e. 183150/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/414, 3663/713 is 183150/23.

LCM(450/414, 3663/713) = 183150/23

LCM of 450/414, 3663/713

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 450/414,3663/713

Given numbers are 450/414,3663/713

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 450,3663

Least Common Multiple of Numerators i.e. LCM of 450,3663 is 183150.

GCF of Denominators means GCF of 414,713 as per the given fractions.

GCF of 414,713 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,3663

LCM of Fractions 450/414,3663/713 is 183150/23

3 450, 3663
3 150, 1221
50, 407

∴ So the LCM of the given numbers is 3 x 3 x 50 x 407 = 183150

Least Common Multiple of 450,3663 with GCF Formula

Least Common Multiple of 450,3663 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 450,3663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,3663) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(450,3663) x common factors =9 x 1 = 9

LCM(450,3663) = ( 450 × 3663 ) / 9

LCM(450,3663) = 1648350 / 9

LCM(450,3663) = 183150


Lets's calculate GCF of 414,713

23 414, 713
18, 31

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183150/23

Therefore the LCM of Fractions 450/414,3663/713 is 183150/23

Greatest Common Factor of 414,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,713 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 414,713 . The biggest common factor number is the GCF number.
So the greatest common factor 414,713 is 23.


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 450/414, 3663/713

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 450/414, 3663/713?

Answer: LCM of Numerators as per given numbers 450/414, 3663/713 is

LCM of Numerators i.e. for 450,3663 is 183150

GCF of denominators i.e. for 414,713 is 23.

Thus, LCM of Fractions is 183150/23.Finally, LCM of Fractions for 450/414, 3663/713 is 183150/23.