Least Common Multiple of 665/390, 701/718, 511/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 665/390, 701/718, 511/497 quickly i.e. 34030045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/390, 701/718, 511/497 is 34030045.

LCM(665/390, 701/718, 511/497) = 34030045

LCM of 665/390, 701/718, 511/497

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 665/390,701/718,511/497

Given numbers are 665/390,701/718,511/497

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 665,701,511

Least Common Multiple of Numerators i.e. LCM of 665,701,511 is 34030045.

GCF of Denominators means GCF of 390,718,497 as per the given fractions.

GCF of 390,718,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,701,511

LCM of Fractions 665/390,701/718,511/497 is 34030045

7 665, 701, 511
95, 701, 73

∴ So the LCM of the given numbers is 7 x 95 x 701 x 73 = 34030045

Least Common Multiple of 665,701,511 with GCF Formula

Least Common Multiple of 665,701,511 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 665,701,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,701,511) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(665,701,511) x common factors =1 x 7 = 7

LCM(665,701,511) = ( 665 × 701 × 511 ) / 7

LCM(665,701,511) = 238210315 / 7

LCM(665,701,511) = 34030045


Lets's calculate GCF of 390,718,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34030045/1

Therefore the LCM of Fractions 665/390,701/718,511/497 is 34030045

Greatest Common Factor of 390,718,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,718,497 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

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 390,718,497 . The biggest common factor number is the GCF number.
So the greatest common factor 390,718,497 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 665/390, 701/718, 511/497

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 665/390, 701/718, 511/497?

Answer: LCM of Numerators as per given numbers 665/390, 701/718, 511/497 is

LCM of Numerators i.e. for 665,701,511 is 34030045

GCF of denominators i.e. for 390,718,497 is 1.

Thus, LCM of Fractions is 34030045.Finally, LCM of Fractions for 665/390, 701/718, 511/497 is 34030045.