Least Common Multiple of 69/817, 62/514, 660/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/817, 62/514, 660/109 quickly i.e. 470580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/817, 62/514, 660/109 is 470580.

LCM(69/817, 62/514, 660/109) = 470580

LCM of 69/817, 62/514, 660/109

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 69/817,62/514,660/109

Given numbers are 69/817,62/514,660/109

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 69,62,660

Least Common Multiple of Numerators i.e. LCM of 69,62,660 is 470580.

GCF of Denominators means GCF of 817,514,109 as per the given fractions.

GCF of 817,514,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,62,660

LCM of Fractions 69/817,62/514,660/109 is 470580

2 69, 62, 660
3 69, 31, 330
23, 31, 110

∴ So the LCM of the given numbers is 2 x 3 x 23 x 31 x 110 = 470580

Least Common Multiple of 69,62,660 with GCF Formula

Least Common Multiple of 69,62,660 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 69,62,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,62,660) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(69,62,660) x common factors =1 x 6 = 6

LCM(69,62,660) = ( 69 × 62 × 660 ) / 6

LCM(69,62,660) = 2823480 / 6

LCM(69,62,660) = 470580


Lets's calculate GCF of 817,514,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470580/1

Therefore the LCM of Fractions 69/817,62/514,660/109 is 470580

Greatest Common Factor of 817,514,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,514,109 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 817,514,109 . The biggest common factor number is the GCF number.
So the greatest common factor 817,514,109 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 69/817, 62/514, 660/109

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 69/817, 62/514, 660/109?

Answer: LCM of Numerators as per given numbers 69/817, 62/514, 660/109 is

LCM of Numerators i.e. for 69,62,660 is 470580

GCF of denominators i.e. for 817,514,109 is 1.

Thus, LCM of Fractions is 470580.Finally, LCM of Fractions for 69/817, 62/514, 660/109 is 470580.