Least Common Multiple of 105/106, 6640/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/106, 6640/110 quickly i.e. 69720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/106, 6640/110 is 69720.

LCM(105/106, 6640/110) = 69720

LCM of 105/106, 6640/110

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 105/106,6640/110

Given numbers are 105/106,6640/110

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 105,6640

Least Common Multiple of Numerators i.e. LCM of 105,6640 is 139440.

GCF of Denominators means GCF of 106,110 as per the given fractions.

GCF of 106,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,6640

LCM of Fractions 105/106,6640/110 is 69720

5 105, 6640
21, 1328

∴ So the LCM of the given numbers is 5 x 21 x 1328 = 139440

Least Common Multiple of 105,6640 with GCF Formula

Least Common Multiple of 105,6640 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 105,6640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,6640) = 5

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

GCF(105,6640) x common factors =5 x 1 = 5

LCM(105,6640) = ( 105 × 6640 ) / 5

LCM(105,6640) = 697200 / 5

LCM(105,6640) = 139440


Lets's calculate GCF of 106,110

2 106, 110
53, 55

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139440/2

Therefore the LCM of Fractions 105/106,6640/110 is 69720

Greatest Common Factor of 106,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,110 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 106,110 . The biggest common factor number is the GCF number.
So the greatest common factor 106,110 is 2.


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 105/106, 6640/110

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 105/106, 6640/110?

Answer: LCM of Numerators as per given numbers 105/106, 6640/110 is

LCM of Numerators i.e. for 105,6640 is 139440

GCF of denominators i.e. for 106,110 is 2.

Thus, LCM of Fractions is 69720.Finally, LCM of Fractions for 105/106, 6640/110 is 69720.