Least Common Multiple of 106/425, 2373/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 106/425, 2373/458 quickly i.e. 251538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/425, 2373/458 is 251538.

LCM(106/425, 2373/458) = 251538

LCM of 106/425, 2373/458

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 106/425,2373/458

Given numbers are 106/425,2373/458

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 106,2373

Least Common Multiple of Numerators i.e. LCM of 106,2373 is 251538.

GCF of Denominators means GCF of 425,458 as per the given fractions.

GCF of 425,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,2373

LCM of Fractions 106/425,2373/458 is 251538

Given numbers has no common factors except 1. So, there LCM is their product i.e 251538

Least Common Multiple of 106,2373 with GCF Formula

Least Common Multiple of 106,2373 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 106,2373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,2373) = 1

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

GCF(106,2373) x common factors =1 x 1 = 1

LCM(106,2373) = ( 106 × 2373 ) / 1

LCM(106,2373) = 251538 / 1

LCM(106,2373) = 251538


Lets's calculate GCF of 425,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251538/1

Therefore the LCM of Fractions 106/425,2373/458 is 251538

Greatest Common Factor of 425,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,458 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 425,458 . The biggest common factor number is the GCF number.
So the greatest common factor 425,458 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 106/425, 2373/458

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 106/425, 2373/458?

Answer: LCM of Numerators as per given numbers 106/425, 2373/458 is

LCM of Numerators i.e. for 106,2373 is 251538

GCF of denominators i.e. for 425,458 is 1.

Thus, LCM of Fractions is 251538.Finally, LCM of Fractions for 106/425, 2373/458 is 251538.