Least Common Multiple of 410/66, 681/22, 789/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/66, 681/22, 789/497 quickly i.e. 73432230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/66, 681/22, 789/497 is 73432230.

LCM(410/66, 681/22, 789/497) = 73432230

LCM of 410/66, 681/22, 789/497

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 410/66,681/22,789/497

Given numbers are 410/66,681/22,789/497

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 410,681,789

Least Common Multiple of Numerators i.e. LCM of 410,681,789 is 73432230.

GCF of Denominators means GCF of 66,22,497 as per the given fractions.

GCF of 66,22,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,681,789

LCM of Fractions 410/66,681/22,789/497 is 73432230

3 410, 681, 789
410, 227, 263

∴ So the LCM of the given numbers is 3 x 410 x 227 x 263 = 73432230

Least Common Multiple of 410,681,789 with GCF Formula

Least Common Multiple of 410,681,789 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 410,681,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,681,789) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(410,681,789) x common factors =1 x 3 = 3

LCM(410,681,789) = ( 410 × 681 × 789 ) / 3

LCM(410,681,789) = 220296690 / 3

LCM(410,681,789) = 73432230


Lets's calculate GCF of 66,22,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73432230/1

Therefore the LCM of Fractions 410/66,681/22,789/497 is 73432230

Greatest Common Factor of 66,22,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,22,497 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 66,22,497 . The biggest common factor number is the GCF number.
So the greatest common factor 66,22,497 is 1.


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 410/66, 681/22, 789/497

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 410/66, 681/22, 789/497?

Answer: LCM of Numerators as per given numbers 410/66, 681/22, 789/497 is

LCM of Numerators i.e. for 410,681,789 is 73432230

GCF of denominators i.e. for 66,22,497 is 1.

Thus, LCM of Fractions is 73432230.Finally, LCM of Fractions for 410/66, 681/22, 789/497 is 73432230.