Least Common Multiple of 444/268, 655/121, 398/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 444/268, 655/121, 398/822 quickly i.e. 57873180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/268, 655/121, 398/822 is 57873180.

LCM(444/268, 655/121, 398/822) = 57873180

LCM of 444/268, 655/121, 398/822

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 444/268,655/121,398/822

Given numbers are 444/268,655/121,398/822

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 444,655,398

Least Common Multiple of Numerators i.e. LCM of 444,655,398 is 57873180.

GCF of Denominators means GCF of 268,121,822 as per the given fractions.

GCF of 268,121,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,655,398

LCM of Fractions 444/268,655/121,398/822 is 57873180

2 444, 655, 398
222, 655, 199

∴ So the LCM of the given numbers is 2 x 222 x 655 x 199 = 57873180

Least Common Multiple of 444,655,398 with GCF Formula

Least Common Multiple of 444,655,398 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 444,655,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,655,398) = 1

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

GCF(444,655,398) x common factors =1 x 2 = 2

LCM(444,655,398) = ( 444 × 655 × 398 ) / 2

LCM(444,655,398) = 115746360 / 2

LCM(444,655,398) = 57873180


Lets's calculate GCF of 268,121,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57873180/1

Therefore the LCM of Fractions 444/268,655/121,398/822 is 57873180

Greatest Common Factor of 268,121,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,121,822 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 268,121,822 . The biggest common factor number is the GCF number.
So the greatest common factor 268,121,822 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 444/268, 655/121, 398/822

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 444/268, 655/121, 398/822?

Answer: LCM of Numerators as per given numbers 444/268, 655/121, 398/822 is

LCM of Numerators i.e. for 444,655,398 is 57873180

GCF of denominators i.e. for 268,121,822 is 1.

Thus, LCM of Fractions is 57873180.Finally, LCM of Fractions for 444/268, 655/121, 398/822 is 57873180.