Least Common Multiple of 9478/282, 8718/2229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9478/282, 8718/2229 quickly i.e. 13771534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9478/282, 8718/2229 is 13771534.

LCM(9478/282, 8718/2229) = 13771534

LCM of 9478/282, 8718/2229

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 9478/282,8718/2229

Given numbers are 9478/282,8718/2229

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 9478,8718

Least Common Multiple of Numerators i.e. LCM of 9478,8718 is 41314602.

GCF of Denominators means GCF of 282,2229 as per the given fractions.

GCF of 282,2229 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9478,8718

LCM of Fractions 9478/282,8718/2229 is 13771534

2 9478, 8718
4739, 4359

∴ So the LCM of the given numbers is 2 x 4739 x 4359 = 41314602

Least Common Multiple of 9478,8718 with GCF Formula

Least Common Multiple of 9478,8718 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 9478,8718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9478,8718) = 2

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

GCF(9478,8718) x common factors =2 x 1 = 2

LCM(9478,8718) = ( 9478 × 8718 ) / 2

LCM(9478,8718) = 82629204 / 2

LCM(9478,8718) = 41314602


Lets's calculate GCF of 282,2229

3 282, 2229
94, 743

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41314602/3

Therefore the LCM of Fractions 9478/282,8718/2229 is 13771534

Greatest Common Factor of 282,2229 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,2229 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 2229

List of positive integer factors of 2229 that divides 2229 without a remainder.

1,3,743,2229

Greatest Common Factor

We found the factors 282,2229 . The biggest common factor number is the GCF number.
So the greatest common factor 282,2229 is 3.


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 9478/282, 8718/2229

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 9478/282, 8718/2229?

Answer: LCM of Numerators as per given numbers 9478/282, 8718/2229 is

LCM of Numerators i.e. for 9478,8718 is 41314602

GCF of denominators i.e. for 282,2229 is 3.

Thus, LCM of Fractions is 13771534.Finally, LCM of Fractions for 9478/282, 8718/2229 is 13771534.