Least Common Multiple of 1200/298, 8643/4158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1200/298, 8643/4158 quickly i.e. 1728600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1200/298, 8643/4158 is 1728600.

LCM(1200/298, 8643/4158) = 1728600

LCM of 1200/298, 8643/4158

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 1200/298,8643/4158

Given numbers are 1200/298,8643/4158

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 1200,8643

Least Common Multiple of Numerators i.e. LCM of 1200,8643 is 3457200.

GCF of Denominators means GCF of 298,4158 as per the given fractions.

GCF of 298,4158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1200,8643

LCM of Fractions 1200/298,8643/4158 is 1728600

3 1200, 8643
400, 2881

∴ So the LCM of the given numbers is 3 x 400 x 2881 = 3457200

Least Common Multiple of 1200,8643 with GCF Formula

Least Common Multiple of 1200,8643 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 1200,8643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1200,8643) = 3

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

GCF(1200,8643) x common factors =3 x 1 = 3

LCM(1200,8643) = ( 1200 × 8643 ) / 3

LCM(1200,8643) = 10371600 / 3

LCM(1200,8643) = 3457200


Lets's calculate GCF of 298,4158

2 298, 4158
149, 2079

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3457200/2

Therefore the LCM of Fractions 1200/298,8643/4158 is 1728600

Greatest Common Factor of 298,4158 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,4158 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158

Greatest Common Factor

We found the factors 298,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 298,4158 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 1200/298, 8643/4158

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 1200/298, 8643/4158?

Answer: LCM of Numerators as per given numbers 1200/298, 8643/4158 is

LCM of Numerators i.e. for 1200,8643 is 3457200

GCF of denominators i.e. for 298,4158 is 2.

Thus, LCM of Fractions is 1728600.Finally, LCM of Fractions for 1200/298, 8643/4158 is 1728600.