Least Common Multiple of 517/85, 690/6966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 517/85, 690/6966 quickly i.e. 356730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 517/85, 690/6966 is 356730.

LCM(517/85, 690/6966) = 356730

LCM of 517/85, 690/6966

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 517/85,690/6966

Given numbers are 517/85,690/6966

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 517,690

Least Common Multiple of Numerators i.e. LCM of 517,690 is 356730.

GCF of Denominators means GCF of 85,6966 as per the given fractions.

GCF of 85,6966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 517,690

LCM of Fractions 517/85,690/6966 is 356730

Given numbers has no common factors except 1. So, there LCM is their product i.e 356730

Least Common Multiple of 517,690 with GCF Formula

Least Common Multiple of 517,690 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 517,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,690) = 1

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

GCF(517,690) x common factors =1 x 1 = 1

LCM(517,690) = ( 517 × 690 ) / 1

LCM(517,690) = 356730 / 1

LCM(517,690) = 356730


Lets's calculate GCF of 85,6966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356730/1

Therefore the LCM of Fractions 517/85,690/6966 is 356730

Greatest Common Factor of 85,6966 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,6966 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 6966

List of positive integer factors of 6966 that divides 6966 without a remainder.

1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966

Greatest Common Factor

We found the factors 85,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 85,6966 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 517/85, 690/6966

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 517/85, 690/6966?

Answer: LCM of Numerators as per given numbers 517/85, 690/6966 is

LCM of Numerators i.e. for 517,690 is 356730

GCF of denominators i.e. for 85,6966 is 1.

Thus, LCM of Fractions is 356730.Finally, LCM of Fractions for 517/85, 690/6966 is 356730.