Least Common Multiple of 458/390, 213/923, 431/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/390, 213/923, 431/139 quickly i.e. 42045774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/390, 213/923, 431/139 is 42045774.

LCM(458/390, 213/923, 431/139) = 42045774

LCM of 458/390, 213/923, 431/139

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 458/390,213/923,431/139

Given numbers are 458/390,213/923,431/139

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 458,213,431

Least Common Multiple of Numerators i.e. LCM of 458,213,431 is 42045774.

GCF of Denominators means GCF of 390,923,139 as per the given fractions.

GCF of 390,923,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,213,431

LCM of Fractions 458/390,213/923,431/139 is 42045774

Given numbers has no common factors except 1. So, there LCM is their product i.e 42045774

Least Common Multiple of 458,213,431 with GCF Formula

Least Common Multiple of 458,213,431 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 458,213,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,213,431) = 1

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

GCF(458,213,431) x common factors =1 x 1 = 1

LCM(458,213,431) = ( 458 × 213 × 431 ) / 1

LCM(458,213,431) = 42045774 / 1

LCM(458,213,431) = 42045774


Lets's calculate GCF of 390,923,139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42045774/1

Therefore the LCM of Fractions 458/390,213/923,431/139 is 42045774

Greatest Common Factor of 390,923,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,923,139 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 390,923,139 . The biggest common factor number is the GCF number.
So the greatest common factor 390,923,139 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 458/390, 213/923, 431/139

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 458/390, 213/923, 431/139?

Answer: LCM of Numerators as per given numbers 458/390, 213/923, 431/139 is

LCM of Numerators i.e. for 458,213,431 is 42045774

GCF of denominators i.e. for 390,923,139 is 1.

Thus, LCM of Fractions is 42045774.Finally, LCM of Fractions for 458/390, 213/923, 431/139 is 42045774.