Least Common Multiple of 8884/354, 4770/5269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8884/354, 4770/5269 quickly i.e. 21188340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8884/354, 4770/5269 is 21188340.

LCM(8884/354, 4770/5269) = 21188340

LCM of 8884/354, 4770/5269

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 8884/354,4770/5269

Given numbers are 8884/354,4770/5269

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 8884,4770

Least Common Multiple of Numerators i.e. LCM of 8884,4770 is 21188340.

GCF of Denominators means GCF of 354,5269 as per the given fractions.

GCF of 354,5269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8884,4770

LCM of Fractions 8884/354,4770/5269 is 21188340

2 8884, 4770
4442, 2385

∴ So the LCM of the given numbers is 2 x 4442 x 2385 = 21188340

Least Common Multiple of 8884,4770 with GCF Formula

Least Common Multiple of 8884,4770 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 8884,4770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8884,4770) = 2

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

GCF(8884,4770) x common factors =2 x 1 = 2

LCM(8884,4770) = ( 8884 × 4770 ) / 2

LCM(8884,4770) = 42376680 / 2

LCM(8884,4770) = 21188340


Lets's calculate GCF of 354,5269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21188340/1

Therefore the LCM of Fractions 8884/354,4770/5269 is 21188340

Greatest Common Factor of 354,5269 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,5269 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 5269

List of positive integer factors of 5269 that divides 5269 without a remainder.

1,11,479,5269

Greatest Common Factor

We found the factors 354,5269 . The biggest common factor number is the GCF number.
So the greatest common factor 354,5269 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8884/354, 4770/5269

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 8884/354, 4770/5269?

Answer: LCM of Numerators as per given numbers 8884/354, 4770/5269 is

LCM of Numerators i.e. for 8884,4770 is 21188340

GCF of denominators i.e. for 354,5269 is 1.

Thus, LCM of Fractions is 21188340.Finally, LCM of Fractions for 8884/354, 4770/5269 is 21188340.