Least Common Multiple of 665/290, 6585/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 665/290, 6585/101 quickly i.e. 875805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/290, 6585/101 is 875805.

LCM(665/290, 6585/101) = 875805

LCM of 665/290, 6585/101

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 665/290,6585/101

Given numbers are 665/290,6585/101

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 665,6585

Least Common Multiple of Numerators i.e. LCM of 665,6585 is 875805.

GCF of Denominators means GCF of 290,101 as per the given fractions.

GCF of 290,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,6585

LCM of Fractions 665/290,6585/101 is 875805

5 665, 6585
133, 1317

∴ So the LCM of the given numbers is 5 x 133 x 1317 = 875805

Least Common Multiple of 665,6585 with GCF Formula

Least Common Multiple of 665,6585 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 665,6585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,6585) = 5

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

GCF(665,6585) x common factors =5 x 1 = 5

LCM(665,6585) = ( 665 × 6585 ) / 5

LCM(665,6585) = 4379025 / 5

LCM(665,6585) = 875805


Lets's calculate GCF of 290,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 875805/1

Therefore the LCM of Fractions 665/290,6585/101 is 875805

Greatest Common Factor of 290,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,101 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 290,101 . The biggest common factor number is the GCF number.
So the greatest common factor 290,101 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 665/290, 6585/101

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 665/290, 6585/101?

Answer: LCM of Numerators as per given numbers 665/290, 6585/101 is

LCM of Numerators i.e. for 665,6585 is 875805

GCF of denominators i.e. for 290,101 is 1.

Thus, LCM of Fractions is 875805.Finally, LCM of Fractions for 665/290, 6585/101 is 875805.