Least Common Multiple of 822/426, 123/126, 456/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/426, 123/126, 456/239 quickly i.e. 2561352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/426, 123/126, 456/239 is 2561352.

LCM(822/426, 123/126, 456/239) = 2561352

LCM of 822/426, 123/126, 456/239

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 822/426,123/126,456/239

Given numbers are 822/426,123/126,456/239

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 822,123,456

Least Common Multiple of Numerators i.e. LCM of 822,123,456 is 2561352.

GCF of Denominators means GCF of 426,126,239 as per the given fractions.

GCF of 426,126,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,123,456

LCM of Fractions 822/426,123/126,456/239 is 2561352

2 822, 123, 456
3 411, 123, 228
137, 41, 76

∴ So the LCM of the given numbers is 2 x 3 x 137 x 41 x 76 = 2561352

Least Common Multiple of 822,123,456 with GCF Formula

Least Common Multiple of 822,123,456 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 822,123,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,123,456) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(822,123,456) x common factors =3 x 6 = 18

LCM(822,123,456) = ( 822 × 123 × 456 ) / 18

LCM(822,123,456) = 46104336 / 18

LCM(822,123,456) = 2561352


Lets's calculate GCF of 426,126,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2561352/1

Therefore the LCM of Fractions 822/426,123/126,456/239 is 2561352

Greatest Common Factor of 426,126,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,126,239 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 426,126,239 . The biggest common factor number is the GCF number.
So the greatest common factor 426,126,239 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 822/426, 123/126, 456/239

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 822/426, 123/126, 456/239?

Answer: LCM of Numerators as per given numbers 822/426, 123/126, 456/239 is

LCM of Numerators i.e. for 822,123,456 is 2561352

GCF of denominators i.e. for 426,126,239 is 1.

Thus, LCM of Fractions is 2561352.Finally, LCM of Fractions for 822/426, 123/126, 456/239 is 2561352.