Least Common Multiple of 29/62, 54/66, 817/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/62, 54/66, 817/506 quickly i.e. 639711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/62, 54/66, 817/506 is 639711.

LCM(29/62, 54/66, 817/506) = 639711

LCM of 29/62, 54/66, 817/506

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 29/62,54/66,817/506

Given numbers are 29/62,54/66,817/506

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 29,54,817

Least Common Multiple of Numerators i.e. LCM of 29,54,817 is 1279422.

GCF of Denominators means GCF of 62,66,506 as per the given fractions.

GCF of 62,66,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,54,817

LCM of Fractions 29/62,54/66,817/506 is 639711

Given numbers has no common factors except 1. So, there LCM is their product i.e 1279422

Least Common Multiple of 29,54,817 with GCF Formula

Least Common Multiple of 29,54,817 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 29,54,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,54,817) = 1

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

GCF(29,54,817) x common factors =1 x 1 = 1

LCM(29,54,817) = ( 29 × 54 × 817 ) / 1

LCM(29,54,817) = 1279422 / 1

LCM(29,54,817) = 1279422


Lets's calculate GCF of 62,66,506

2 62, 66, 506
31, 33, 253

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1279422/2

Therefore the LCM of Fractions 29/62,54/66,817/506 is 639711

Greatest Common Factor of 62,66,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,66,506 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

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 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 62,66,506 . The biggest common factor number is the GCF number.
So the greatest common factor 62,66,506 is 2.


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 29/62, 54/66, 817/506

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 29/62, 54/66, 817/506?

Answer: LCM of Numerators as per given numbers 29/62, 54/66, 817/506 is

LCM of Numerators i.e. for 29,54,817 is 1279422

GCF of denominators i.e. for 62,66,506 is 2.

Thus, LCM of Fractions is 639711.Finally, LCM of Fractions for 29/62, 54/66, 817/506 is 639711.