Least Common Multiple of 8830/277, 6324/7228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8830/277, 6324/7228 quickly i.e. 27920460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8830/277, 6324/7228 is 27920460.

LCM(8830/277, 6324/7228) = 27920460

LCM of 8830/277, 6324/7228

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 8830/277,6324/7228

Given numbers are 8830/277,6324/7228

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 8830,6324

Least Common Multiple of Numerators i.e. LCM of 8830,6324 is 27920460.

GCF of Denominators means GCF of 277,7228 as per the given fractions.

GCF of 277,7228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8830,6324

LCM of Fractions 8830/277,6324/7228 is 27920460

2 8830, 6324
4415, 3162

∴ So the LCM of the given numbers is 2 x 4415 x 3162 = 27920460

Least Common Multiple of 8830,6324 with GCF Formula

Least Common Multiple of 8830,6324 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 8830,6324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8830,6324) = 2

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

GCF(8830,6324) x common factors =2 x 1 = 2

LCM(8830,6324) = ( 8830 × 6324 ) / 2

LCM(8830,6324) = 55840920 / 2

LCM(8830,6324) = 27920460


Lets's calculate GCF of 277,7228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27920460/1

Therefore the LCM of Fractions 8830/277,6324/7228 is 27920460

Greatest Common Factor of 277,7228 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,7228 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1,2,4,13,26,52,139,278,556,1807,3614,7228

Greatest Common Factor

We found the factors 277,7228 . The biggest common factor number is the GCF number.
So the greatest common factor 277,7228 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 8830/277, 6324/7228

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 8830/277, 6324/7228?

Answer: LCM of Numerators as per given numbers 8830/277, 6324/7228 is

LCM of Numerators i.e. for 8830,6324 is 27920460

GCF of denominators i.e. for 277,7228 is 1.

Thus, LCM of Fractions is 27920460.Finally, LCM of Fractions for 8830/277, 6324/7228 is 27920460.