Least Common Multiple of 398/871, 781/444, 846/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/871, 781/444, 846/228 quickly i.e. 131484474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/871, 781/444, 846/228 is 131484474.

LCM(398/871, 781/444, 846/228) = 131484474

LCM of 398/871, 781/444, 846/228

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 398/871,781/444,846/228

Given numbers are 398/871,781/444,846/228

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 398,781,846

Least Common Multiple of Numerators i.e. LCM of 398,781,846 is 131484474.

GCF of Denominators means GCF of 871,444,228 as per the given fractions.

GCF of 871,444,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,781,846

LCM of Fractions 398/871,781/444,846/228 is 131484474

2 398, 781, 846
199, 781, 423

∴ So the LCM of the given numbers is 2 x 199 x 781 x 423 = 131484474

Least Common Multiple of 398,781,846 with GCF Formula

Least Common Multiple of 398,781,846 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 398,781,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,781,846) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(398,781,846) x common factors =1 x 2 = 2

LCM(398,781,846) = ( 398 × 781 × 846 ) / 2

LCM(398,781,846) = 262968948 / 2

LCM(398,781,846) = 131484474


Lets's calculate GCF of 871,444,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131484474/1

Therefore the LCM of Fractions 398/871,781/444,846/228 is 131484474

Greatest Common Factor of 871,444,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,444,228 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 871,444,228 . The biggest common factor number is the GCF number.
So the greatest common factor 871,444,228 is 1.


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 398/871, 781/444, 846/228

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 398/871, 781/444, 846/228?

Answer: LCM of Numerators as per given numbers 398/871, 781/444, 846/228 is

LCM of Numerators i.e. for 398,781,846 is 131484474

GCF of denominators i.e. for 871,444,228 is 1.

Thus, LCM of Fractions is 131484474.Finally, LCM of Fractions for 398/871, 781/444, 846/228 is 131484474.