Least Common Multiple of 40/406, 8665/9245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/406, 8665/9245 quickly i.e. 69320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/406, 8665/9245 is 69320.

LCM(40/406, 8665/9245) = 69320

LCM of 40/406, 8665/9245

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 40/406,8665/9245

Given numbers are 40/406,8665/9245

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 40,8665

Least Common Multiple of Numerators i.e. LCM of 40,8665 is 69320.

GCF of Denominators means GCF of 406,9245 as per the given fractions.

GCF of 406,9245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,8665

LCM of Fractions 40/406,8665/9245 is 69320

5 40, 8665
8, 1733

∴ So the LCM of the given numbers is 5 x 8 x 1733 = 69320

Least Common Multiple of 40,8665 with GCF Formula

Least Common Multiple of 40,8665 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 40,8665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,8665) = 5

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

GCF(40,8665) x common factors =5 x 1 = 5

LCM(40,8665) = ( 40 × 8665 ) / 5

LCM(40,8665) = 346600 / 5

LCM(40,8665) = 69320


Lets's calculate GCF of 406,9245

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69320/1

Therefore the LCM of Fractions 40/406,8665/9245 is 69320

Greatest Common Factor of 406,9245 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,9245 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 9245

List of positive integer factors of 9245 that divides 9245 without a remainder.

1,5,43,215,1849,9245

Greatest Common Factor

We found the factors 406,9245 . The biggest common factor number is the GCF number.
So the greatest common factor 406,9245 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/406, 8665/9245

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 40/406, 8665/9245?

Answer: LCM of Numerators as per given numbers 40/406, 8665/9245 is

LCM of Numerators i.e. for 40,8665 is 69320

GCF of denominators i.e. for 406,9245 is 1.

Thus, LCM of Fractions is 69320.Finally, LCM of Fractions for 40/406, 8665/9245 is 69320.