Least Common Multiple of 817/69, 610/2985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/69, 610/2985 quickly i.e. 498370/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/69, 610/2985 is 498370/3.

LCM(817/69, 610/2985) = 498370/3

LCM of 817/69, 610/2985

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 817/69,610/2985

Given numbers are 817/69,610/2985

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 817,610

Least Common Multiple of Numerators i.e. LCM of 817,610 is 498370.

GCF of Denominators means GCF of 69,2985 as per the given fractions.

GCF of 69,2985 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,610

LCM of Fractions 817/69,610/2985 is 498370/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 498370

Least Common Multiple of 817,610 with GCF Formula

Least Common Multiple of 817,610 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 817,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,610) = 1

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

GCF(817,610) x common factors =1 x 1 = 1

LCM(817,610) = ( 817 × 610 ) / 1

LCM(817,610) = 498370 / 1

LCM(817,610) = 498370


Lets's calculate GCF of 69,2985

3 69, 2985
23, 995

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 498370/3

Therefore the LCM of Fractions 817/69,610/2985 is 498370/3

Greatest Common Factor of 69,2985 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,2985 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 2985

List of positive integer factors of 2985 that divides 2985 without a remainder.

1,3,5,15,199,597,995,2985

Greatest Common Factor

We found the factors 69,2985 . The biggest common factor number is the GCF number.
So the greatest common factor 69,2985 is 3.


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 817/69, 610/2985

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 817/69, 610/2985?

Answer: LCM of Numerators as per given numbers 817/69, 610/2985 is

LCM of Numerators i.e. for 817,610 is 498370

GCF of denominators i.e. for 69,2985 is 3.

Thus, LCM of Fractions is 498370/3.Finally, LCM of Fractions for 817/69, 610/2985 is 498370/3.