Least Common Multiple of 40/106, 3099/9260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/106, 3099/9260 quickly i.e. 61980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/106, 3099/9260 is 61980.

LCM(40/106, 3099/9260) = 61980

LCM of 40/106, 3099/9260

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 40/106,3099/9260

Given numbers are 40/106,3099/9260

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 40,3099

Least Common Multiple of Numerators i.e. LCM of 40,3099 is 123960.

GCF of Denominators means GCF of 106,9260 as per the given fractions.

GCF of 106,9260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,3099

LCM of Fractions 40/106,3099/9260 is 61980

Given numbers has no common factors except 1. So, there LCM is their product i.e 123960

Least Common Multiple of 40,3099 with GCF Formula

Least Common Multiple of 40,3099 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 40,3099 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,3099) = 1

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

GCF(40,3099) x common factors =1 x 1 = 1

LCM(40,3099) = ( 40 × 3099 ) / 1

LCM(40,3099) = 123960 / 1

LCM(40,3099) = 123960


Lets's calculate GCF of 106,9260

2 106, 9260
53, 4630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123960/2

Therefore the LCM of Fractions 40/106,3099/9260 is 61980

Greatest Common Factor of 106,9260 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,9260 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 9260

List of positive integer factors of 9260 that divides 9260 without a remainder.

1,2,4,5,10,20,463,926,1852,2315,4630,9260

Greatest Common Factor

We found the factors 106,9260 . The biggest common factor number is the GCF number.
So the greatest common factor 106,9260 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 40/106, 3099/9260

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 40/106, 3099/9260?

Answer: LCM of Numerators as per given numbers 40/106, 3099/9260 is

LCM of Numerators i.e. for 40,3099 is 123960

GCF of denominators i.e. for 106,9260 is 2.

Thus, LCM of Fractions is 61980.Finally, LCM of Fractions for 40/106, 3099/9260 is 61980.