Least Common Multiple of 198/466, 408/148, 568/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/466, 408/148, 568/870 quickly i.e. 477972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/466, 408/148, 568/870 is 477972.

LCM(198/466, 408/148, 568/870) = 477972

LCM of 198/466, 408/148, 568/870

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 198/466,408/148,568/870

Given numbers are 198/466,408/148,568/870

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 198,408,568

Least Common Multiple of Numerators i.e. LCM of 198,408,568 is 955944.

GCF of Denominators means GCF of 466,148,870 as per the given fractions.

GCF of 466,148,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,408,568

LCM of Fractions 198/466,408/148,568/870 is 477972

2 198, 408, 568
2 99, 204, 284
2 99, 102, 142
3 99, 51, 71
33, 17, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 33 x 17 x 71 = 955944

Least Common Multiple of 198,408,568 with GCF Formula

Least Common Multiple of 198,408,568 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 198,408,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,408,568) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(198,408,568) x common factors =2 x 24 = 48

LCM(198,408,568) = ( 198 × 408 × 568 ) / 48

LCM(198,408,568) = 45885312 / 48

LCM(198,408,568) = 955944


Lets's calculate GCF of 466,148,870

2 466, 148, 870
233, 74, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 955944/2

Therefore the LCM of Fractions 198/466,408/148,568/870 is 477972

Greatest Common Factor of 466,148,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,148,870 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 466,148,870 . The biggest common factor number is the GCF number.
So the greatest common factor 466,148,870 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 198/466, 408/148, 568/870

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 198/466, 408/148, 568/870?

Answer: LCM of Numerators as per given numbers 198/466, 408/148, 568/870 is

LCM of Numerators i.e. for 198,408,568 is 955944

GCF of denominators i.e. for 466,148,870 is 2.

Thus, LCM of Fractions is 477972.Finally, LCM of Fractions for 198/466, 408/148, 568/870 is 477972.