Least Common Multiple of 9280/168, 9433/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9280/168, 9433/460 quickly i.e. 21884560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9280/168, 9433/460 is 21884560.

LCM(9280/168, 9433/460) = 21884560

LCM of 9280/168, 9433/460

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 9280/168,9433/460

Given numbers are 9280/168,9433/460

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 9280,9433

Least Common Multiple of Numerators i.e. LCM of 9280,9433 is 87538240.

GCF of Denominators means GCF of 168,460 as per the given fractions.

GCF of 168,460 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9280,9433

LCM of Fractions 9280/168,9433/460 is 21884560

Given numbers has no common factors except 1. So, there LCM is their product i.e 87538240

Least Common Multiple of 9280,9433 with GCF Formula

Least Common Multiple of 9280,9433 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 9280,9433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9280,9433) = 1

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

GCF(9280,9433) x common factors =1 x 1 = 1

LCM(9280,9433) = ( 9280 × 9433 ) / 1

LCM(9280,9433) = 87538240 / 1

LCM(9280,9433) = 87538240


Lets's calculate GCF of 168,460

2 168, 460
2 84, 230
42, 115

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87538240/4

Therefore the LCM of Fractions 9280/168,9433/460 is 21884560

Greatest Common Factor of 168,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,460 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 168,460 . The biggest common factor number is the GCF number.
So the greatest common factor 168,460 is 4.


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 9280/168, 9433/460

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 9280/168, 9433/460?

Answer: LCM of Numerators as per given numbers 9280/168, 9433/460 is

LCM of Numerators i.e. for 9280,9433 is 87538240

GCF of denominators i.e. for 168,460 is 4.

Thus, LCM of Fractions is 21884560.Finally, LCM of Fractions for 9280/168, 9433/460 is 21884560.