Least Common Multiple of 106/653, 713/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/653, 713/586 quickly i.e. 75578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/653, 713/586 is 75578.

LCM(106/653, 713/586) = 75578

LCM of 106/653, 713/586

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 106/653,713/586

Given numbers are 106/653,713/586

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 106,713

Least Common Multiple of Numerators i.e. LCM of 106,713 is 75578.

GCF of Denominators means GCF of 653,586 as per the given fractions.

GCF of 653,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,713

LCM of Fractions 106/653,713/586 is 75578

Given numbers has no common factors except 1. So, there LCM is their product i.e 75578

Least Common Multiple of 106,713 with GCF Formula

Least Common Multiple of 106,713 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 106,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,713) = 1

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

GCF(106,713) x common factors =1 x 1 = 1

LCM(106,713) = ( 106 × 713 ) / 1

LCM(106,713) = 75578 / 1

LCM(106,713) = 75578


Lets's calculate GCF of 653,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75578/1

Therefore the LCM of Fractions 106/653,713/586 is 75578

Greatest Common Factor of 653,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,586 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 653,586 . The biggest common factor number is the GCF number.
So the greatest common factor 653,586 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 106/653, 713/586

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 106/653, 713/586?

Answer: LCM of Numerators as per given numbers 106/653, 713/586 is

LCM of Numerators i.e. for 106,713 is 75578

GCF of denominators i.e. for 653,586 is 1.

Thus, LCM of Fractions is 75578.Finally, LCM of Fractions for 106/653, 713/586 is 75578.