Least Common Multiple of 106/14, 749/4581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/14, 749/4581 quickly i.e. 79394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/14, 749/4581 is 79394.

LCM(106/14, 749/4581) = 79394

LCM of 106/14, 749/4581

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 106/14,749/4581

Given numbers are 106/14,749/4581

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 106,749

Least Common Multiple of Numerators i.e. LCM of 106,749 is 79394.

GCF of Denominators means GCF of 14,4581 as per the given fractions.

GCF of 14,4581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,749

LCM of Fractions 106/14,749/4581 is 79394

Given numbers has no common factors except 1. So, there LCM is their product i.e 79394

Least Common Multiple of 106,749 with GCF Formula

Least Common Multiple of 106,749 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 106,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,749) = 1

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

GCF(106,749) x common factors =1 x 1 = 1

LCM(106,749) = ( 106 × 749 ) / 1

LCM(106,749) = 79394 / 1

LCM(106,749) = 79394


Lets's calculate GCF of 14,4581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79394/1

Therefore the LCM of Fractions 106/14,749/4581 is 79394

Greatest Common Factor of 14,4581 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,4581 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 4581

List of positive integer factors of 4581 that divides 4581 without a remainder.

1,3,9,509,1527,4581

Greatest Common Factor

We found the factors 14,4581 . The biggest common factor number is the GCF number.
So the greatest common factor 14,4581 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 106/14, 749/4581

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 106/14, 749/4581?

Answer: LCM of Numerators as per given numbers 106/14, 749/4581 is

LCM of Numerators i.e. for 106,749 is 79394

GCF of denominators i.e. for 14,4581 is 1.

Thus, LCM of Fractions is 79394.Finally, LCM of Fractions for 106/14, 749/4581 is 79394.