Least Common Multiple of 361/399, 892/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 361/399, 892/123 quickly i.e. 322012/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 361/399, 892/123 is 322012/3.

LCM(361/399, 892/123) = 322012/3

LCM of 361/399, 892/123

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 361/399,892/123

Given numbers are 361/399,892/123

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 361,892

Least Common Multiple of Numerators i.e. LCM of 361,892 is 322012.

GCF of Denominators means GCF of 399,123 as per the given fractions.

GCF of 399,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 361,892

LCM of Fractions 361/399,892/123 is 322012/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 322012

Least Common Multiple of 361,892 with GCF Formula

Least Common Multiple of 361,892 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 361,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,892) = 1

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

GCF(361,892) x common factors =1 x 1 = 1

LCM(361,892) = ( 361 × 892 ) / 1

LCM(361,892) = 322012 / 1

LCM(361,892) = 322012


Lets's calculate GCF of 399,123

3 399, 123
133, 41

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322012/3

Therefore the LCM of Fractions 361/399,892/123 is 322012/3

Greatest Common Factor of 399,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,123 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 399,123 . The biggest common factor number is the GCF number.
So the greatest common factor 399,123 is 3.


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 361/399, 892/123

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 361/399, 892/123?

Answer: LCM of Numerators as per given numbers 361/399, 892/123 is

LCM of Numerators i.e. for 361,892 is 322012

GCF of denominators i.e. for 399,123 is 3.

Thus, LCM of Fractions is 322012/3.Finally, LCM of Fractions for 361/399, 892/123 is 322012/3.