Least Common Multiple of 7405/133, 6842/3990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7405/133, 6842/3990 quickly i.e. 50665010/133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7405/133, 6842/3990 is 50665010/133.

LCM(7405/133, 6842/3990) = 50665010/133

LCM of 7405/133, 6842/3990

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 7405/133,6842/3990

Given numbers are 7405/133,6842/3990

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 7405,6842

Least Common Multiple of Numerators i.e. LCM of 7405,6842 is 50665010.

GCF of Denominators means GCF of 133,3990 as per the given fractions.

GCF of 133,3990 is 133 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7405,6842

LCM of Fractions 7405/133,6842/3990 is 50665010/133

Given numbers has no common factors except 1. So, there LCM is their product i.e 50665010

Least Common Multiple of 7405,6842 with GCF Formula

Least Common Multiple of 7405,6842 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 7405,6842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7405,6842) = 1

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

GCF(7405,6842) x common factors =1 x 1 = 1

LCM(7405,6842) = ( 7405 × 6842 ) / 1

LCM(7405,6842) = 50665010 / 1

LCM(7405,6842) = 50665010


Lets's calculate GCF of 133,3990

7 133, 3990
19 19, 570
1, 30

∴ So the GCF of the given numbers is 7 x 19 = 133

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50665010/133

Therefore the LCM of Fractions 7405/133,6842/3990 is 50665010/133

Greatest Common Factor of 133,3990 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,3990 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 3990

List of positive integer factors of 3990 that divides 3990 without a remainder.

1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990

Greatest Common Factor

We found the factors 133,3990 . The biggest common factor number is the GCF number.
So the greatest common factor 133,3990 is 133.


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 7405/133, 6842/3990

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 7405/133, 6842/3990?

Answer: LCM of Numerators as per given numbers 7405/133, 6842/3990 is

LCM of Numerators i.e. for 7405,6842 is 50665010

GCF of denominators i.e. for 133,3990 is 133.

Thus, LCM of Fractions is 50665010/133.Finally, LCM of Fractions for 7405/133, 6842/3990 is 50665010/133.