Least Common Multiple of 7090/264, 9902/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7090/264, 9902/407 quickly i.e. 35102590/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7090/264, 9902/407 is 35102590/11.

LCM(7090/264, 9902/407) = 35102590/11

LCM of 7090/264, 9902/407

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 7090/264,9902/407

Given numbers are 7090/264,9902/407

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 7090,9902

Least Common Multiple of Numerators i.e. LCM of 7090,9902 is 35102590.

GCF of Denominators means GCF of 264,407 as per the given fractions.

GCF of 264,407 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7090,9902

LCM of Fractions 7090/264,9902/407 is 35102590/11

2 7090, 9902
3545, 4951

∴ So the LCM of the given numbers is 2 x 3545 x 4951 = 35102590

Least Common Multiple of 7090,9902 with GCF Formula

Least Common Multiple of 7090,9902 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 7090,9902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7090,9902) = 2

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

GCF(7090,9902) x common factors =2 x 1 = 2

LCM(7090,9902) = ( 7090 × 9902 ) / 2

LCM(7090,9902) = 70205180 / 2

LCM(7090,9902) = 35102590


Lets's calculate GCF of 264,407

11 264, 407
24, 37

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35102590/11

Therefore the LCM of Fractions 7090/264,9902/407 is 35102590/11

Greatest Common Factor of 264,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,407 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 264,407 . The biggest common factor number is the GCF number.
So the greatest common factor 264,407 is 11.


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 7090/264, 9902/407

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 7090/264, 9902/407?

Answer: LCM of Numerators as per given numbers 7090/264, 9902/407 is

LCM of Numerators i.e. for 7090,9902 is 35102590

GCF of denominators i.e. for 264,407 is 11.

Thus, LCM of Fractions is 35102590/11.Finally, LCM of Fractions for 7090/264, 9902/407 is 35102590/11.