Least Common Multiple of 407/40, 299/7045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/40, 299/7045 quickly i.e. 121693/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/40, 299/7045 is 121693/5.

LCM(407/40, 299/7045) = 121693/5

LCM of 407/40, 299/7045

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 407/40,299/7045

Given numbers are 407/40,299/7045

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 407,299

Least Common Multiple of Numerators i.e. LCM of 407,299 is 121693.

GCF of Denominators means GCF of 40,7045 as per the given fractions.

GCF of 40,7045 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,299

LCM of Fractions 407/40,299/7045 is 121693/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 121693

Least Common Multiple of 407,299 with GCF Formula

Least Common Multiple of 407,299 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 407,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,299) = 1

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

GCF(407,299) x common factors =1 x 1 = 1

LCM(407,299) = ( 407 × 299 ) / 1

LCM(407,299) = 121693 / 1

LCM(407,299) = 121693


Lets's calculate GCF of 40,7045

5 40, 7045
8, 1409

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121693/5

Therefore the LCM of Fractions 407/40,299/7045 is 121693/5

Greatest Common Factor of 40,7045 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,7045 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 7045

List of positive integer factors of 7045 that divides 7045 without a remainder.

1,5,1409,7045

Greatest Common Factor

We found the factors 40,7045 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7045 is 5.


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 407/40, 299/7045

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 407/40, 299/7045?

Answer: LCM of Numerators as per given numbers 407/40, 299/7045 is

LCM of Numerators i.e. for 407,299 is 121693

GCF of denominators i.e. for 40,7045 is 5.

Thus, LCM of Fractions is 121693/5.Finally, LCM of Fractions for 407/40, 299/7045 is 121693/5.