Least Common Multiple of 9280/283, 2265/1347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9280/283, 2265/1347 quickly i.e. 4203840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9280/283, 2265/1347 is 4203840.

LCM(9280/283, 2265/1347) = 4203840

LCM of 9280/283, 2265/1347

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 9280/283,2265/1347

Given numbers are 9280/283,2265/1347

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 9280,2265

Least Common Multiple of Numerators i.e. LCM of 9280,2265 is 4203840.

GCF of Denominators means GCF of 283,1347 as per the given fractions.

GCF of 283,1347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9280,2265

LCM of Fractions 9280/283,2265/1347 is 4203840

5 9280, 2265
1856, 453

∴ So the LCM of the given numbers is 5 x 1856 x 453 = 4203840

Least Common Multiple of 9280,2265 with GCF Formula

Least Common Multiple of 9280,2265 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 9280,2265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9280,2265) = 5

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

GCF(9280,2265) x common factors =5 x 1 = 5

LCM(9280,2265) = ( 9280 × 2265 ) / 5

LCM(9280,2265) = 21019200 / 5

LCM(9280,2265) = 4203840


Lets's calculate GCF of 283,1347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4203840/1

Therefore the LCM of Fractions 9280/283,2265/1347 is 4203840

Greatest Common Factor of 283,1347 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,1347 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 1347

List of positive integer factors of 1347 that divides 1347 without a remainder.

1,3,449,1347

Greatest Common Factor

We found the factors 283,1347 . The biggest common factor number is the GCF number.
So the greatest common factor 283,1347 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 9280/283, 2265/1347

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 9280/283, 2265/1347?

Answer: LCM of Numerators as per given numbers 9280/283, 2265/1347 is

LCM of Numerators i.e. for 9280,2265 is 4203840

GCF of denominators i.e. for 283,1347 is 1.

Thus, LCM of Fractions is 4203840.Finally, LCM of Fractions for 9280/283, 2265/1347 is 4203840.