Least Common Multiple of 4218/12, 8880/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4218/12, 8880/849 quickly i.e. 56240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4218/12, 8880/849 is 56240.

LCM(4218/12, 8880/849) = 56240

LCM of 4218/12, 8880/849

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 4218/12,8880/849

Given numbers are 4218/12,8880/849

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 4218,8880

Least Common Multiple of Numerators i.e. LCM of 4218,8880 is 168720.

GCF of Denominators means GCF of 12,849 as per the given fractions.

GCF of 12,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4218,8880

LCM of Fractions 4218/12,8880/849 is 56240

2 4218, 8880
3 2109, 4440
37 703, 1480
19, 40

∴ So the LCM of the given numbers is 2 x 3 x 37 x 19 x 40 = 168720

Least Common Multiple of 4218,8880 with GCF Formula

Least Common Multiple of 4218,8880 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 4218,8880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4218,8880) = 222

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

GCF(4218,8880) x common factors =222 x 1 = 222

LCM(4218,8880) = ( 4218 × 8880 ) / 222

LCM(4218,8880) = 37455840 / 222

LCM(4218,8880) = 168720


Lets's calculate GCF of 12,849

3 12, 849
4, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168720/3

Therefore the LCM of Fractions 4218/12,8880/849 is 56240

Greatest Common Factor of 12,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,849 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 12,849 . The biggest common factor number is the GCF number.
So the greatest common factor 12,849 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 4218/12, 8880/849

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 4218/12, 8880/849?

Answer: LCM of Numerators as per given numbers 4218/12, 8880/849 is

LCM of Numerators i.e. for 4218,8880 is 168720

GCF of denominators i.e. for 12,849 is 3.

Thus, LCM of Fractions is 56240.Finally, LCM of Fractions for 4218/12, 8880/849 is 56240.