Least Common Multiple of 649/40, 418/5427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 649/40, 418/5427 quickly i.e. 24662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/40, 418/5427 is 24662.

LCM(649/40, 418/5427) = 24662

LCM of 649/40, 418/5427

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 649/40,418/5427

Given numbers are 649/40,418/5427

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 649,418

Least Common Multiple of Numerators i.e. LCM of 649,418 is 24662.

GCF of Denominators means GCF of 40,5427 as per the given fractions.

GCF of 40,5427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,418

LCM of Fractions 649/40,418/5427 is 24662

11 649, 418
59, 38

∴ So the LCM of the given numbers is 11 x 59 x 38 = 24662

Least Common Multiple of 649,418 with GCF Formula

Least Common Multiple of 649,418 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 649,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,418) = 11

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

GCF(649,418) x common factors =11 x 1 = 11

LCM(649,418) = ( 649 × 418 ) / 11

LCM(649,418) = 271282 / 11

LCM(649,418) = 24662


Lets's calculate GCF of 40,5427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24662/1

Therefore the LCM of Fractions 649/40,418/5427 is 24662

Greatest Common Factor of 40,5427 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,5427 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 5427

List of positive integer factors of 5427 that divides 5427 without a remainder.

1,3,9,27,67,81,201,603,1809,5427

Greatest Common Factor

We found the factors 40,5427 . The biggest common factor number is the GCF number.
So the greatest common factor 40,5427 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 649/40, 418/5427

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 649/40, 418/5427?

Answer: LCM of Numerators as per given numbers 649/40, 418/5427 is

LCM of Numerators i.e. for 649,418 is 24662

GCF of denominators i.e. for 40,5427 is 1.

Thus, LCM of Fractions is 24662.Finally, LCM of Fractions for 649/40, 418/5427 is 24662.