Least Common Multiple of 450/470, 8824/9301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/470, 8824/9301 quickly i.e. 1985400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/470, 8824/9301 is 1985400.

LCM(450/470, 8824/9301) = 1985400

LCM of 450/470, 8824/9301

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 450/470,8824/9301

Given numbers are 450/470,8824/9301

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 450,8824

Least Common Multiple of Numerators i.e. LCM of 450,8824 is 1985400.

GCF of Denominators means GCF of 470,9301 as per the given fractions.

GCF of 470,9301 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,8824

LCM of Fractions 450/470,8824/9301 is 1985400

2 450, 8824
225, 4412

∴ So the LCM of the given numbers is 2 x 225 x 4412 = 1985400

Least Common Multiple of 450,8824 with GCF Formula

Least Common Multiple of 450,8824 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 450,8824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,8824) = 2

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

GCF(450,8824) x common factors =2 x 1 = 2

LCM(450,8824) = ( 450 × 8824 ) / 2

LCM(450,8824) = 3970800 / 2

LCM(450,8824) = 1985400


Lets's calculate GCF of 470,9301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1985400/1

Therefore the LCM of Fractions 450/470,8824/9301 is 1985400

Greatest Common Factor of 470,9301 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,9301 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 9301

List of positive integer factors of 9301 that divides 9301 without a remainder.

1,71,131,9301

Greatest Common Factor

We found the factors 470,9301 . The biggest common factor number is the GCF number.
So the greatest common factor 470,9301 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 450/470, 8824/9301

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 450/470, 8824/9301?

Answer: LCM of Numerators as per given numbers 450/470, 8824/9301 is

LCM of Numerators i.e. for 450,8824 is 1985400

GCF of denominators i.e. for 470,9301 is 1.

Thus, LCM of Fractions is 1985400.Finally, LCM of Fractions for 450/470, 8824/9301 is 1985400.