Least Common Multiple of 8234/638, 1143/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8234/638, 1143/280 quickly i.e. 4705731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8234/638, 1143/280 is 4705731.

LCM(8234/638, 1143/280) = 4705731

LCM of 8234/638, 1143/280

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 8234/638,1143/280

Given numbers are 8234/638,1143/280

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 8234,1143

Least Common Multiple of Numerators i.e. LCM of 8234,1143 is 9411462.

GCF of Denominators means GCF of 638,280 as per the given fractions.

GCF of 638,280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8234,1143

LCM of Fractions 8234/638,1143/280 is 4705731

Given numbers has no common factors except 1. So, there LCM is their product i.e 9411462

Least Common Multiple of 8234,1143 with GCF Formula

Least Common Multiple of 8234,1143 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 8234,1143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8234,1143) = 1

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

GCF(8234,1143) x common factors =1 x 1 = 1

LCM(8234,1143) = ( 8234 × 1143 ) / 1

LCM(8234,1143) = 9411462 / 1

LCM(8234,1143) = 9411462


Lets's calculate GCF of 638,280

2 638, 280
319, 140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9411462/2

Therefore the LCM of Fractions 8234/638,1143/280 is 4705731

Greatest Common Factor of 638,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,280 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 638,280 . The biggest common factor number is the GCF number.
So the greatest common factor 638,280 is 2.


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 8234/638, 1143/280

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 8234/638, 1143/280?

Answer: LCM of Numerators as per given numbers 8234/638, 1143/280 is

LCM of Numerators i.e. for 8234,1143 is 9411462

GCF of denominators i.e. for 638,280 is 2.

Thus, LCM of Fractions is 4705731.Finally, LCM of Fractions for 8234/638, 1143/280 is 4705731.