Least Common Multiple of 89/574, 9865/8195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/574, 9865/8195 quickly i.e. 877985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/574, 9865/8195 is 877985.

LCM(89/574, 9865/8195) = 877985

LCM of 89/574, 9865/8195

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 89/574,9865/8195

Given numbers are 89/574,9865/8195

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 89,9865

Least Common Multiple of Numerators i.e. LCM of 89,9865 is 877985.

GCF of Denominators means GCF of 574,8195 as per the given fractions.

GCF of 574,8195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,9865

LCM of Fractions 89/574,9865/8195 is 877985

Given numbers has no common factors except 1. So, there LCM is their product i.e 877985

Least Common Multiple of 89,9865 with GCF Formula

Least Common Multiple of 89,9865 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 89,9865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,9865) = 1

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

GCF(89,9865) x common factors =1 x 1 = 1

LCM(89,9865) = ( 89 × 9865 ) / 1

LCM(89,9865) = 877985 / 1

LCM(89,9865) = 877985


Lets's calculate GCF of 574,8195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 877985/1

Therefore the LCM of Fractions 89/574,9865/8195 is 877985

Greatest Common Factor of 574,8195 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,8195 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 8195

List of positive integer factors of 8195 that divides 8195 without a remainder.

1,5,11,55,149,745,1639,8195

Greatest Common Factor

We found the factors 574,8195 . The biggest common factor number is the GCF number.
So the greatest common factor 574,8195 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/574, 9865/8195

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 89/574, 9865/8195?

Answer: LCM of Numerators as per given numbers 89/574, 9865/8195 is

LCM of Numerators i.e. for 89,9865 is 877985

GCF of denominators i.e. for 574,8195 is 1.

Thus, LCM of Fractions is 877985.Finally, LCM of Fractions for 89/574, 9865/8195 is 877985.