Least Common Multiple of 9701/230, 6085/1971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9701/230, 6085/1971 quickly i.e. 59030585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9701/230, 6085/1971 is 59030585.

LCM(9701/230, 6085/1971) = 59030585

LCM of 9701/230, 6085/1971

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 9701/230,6085/1971

Given numbers are 9701/230,6085/1971

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 9701,6085

Least Common Multiple of Numerators i.e. LCM of 9701,6085 is 59030585.

GCF of Denominators means GCF of 230,1971 as per the given fractions.

GCF of 230,1971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9701,6085

LCM of Fractions 9701/230,6085/1971 is 59030585

Given numbers has no common factors except 1. So, there LCM is their product i.e 59030585

Least Common Multiple of 9701,6085 with GCF Formula

Least Common Multiple of 9701,6085 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 9701,6085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9701,6085) = 1

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

GCF(9701,6085) x common factors =1 x 1 = 1

LCM(9701,6085) = ( 9701 × 6085 ) / 1

LCM(9701,6085) = 59030585 / 1

LCM(9701,6085) = 59030585


Lets's calculate GCF of 230,1971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59030585/1

Therefore the LCM of Fractions 9701/230,6085/1971 is 59030585

Greatest Common Factor of 230,1971 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,1971 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 1971

List of positive integer factors of 1971 that divides 1971 without a remainder.

1,3,9,27,73,219,657,1971

Greatest Common Factor

We found the factors 230,1971 . The biggest common factor number is the GCF number.
So the greatest common factor 230,1971 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 9701/230, 6085/1971

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 9701/230, 6085/1971?

Answer: LCM of Numerators as per given numbers 9701/230, 6085/1971 is

LCM of Numerators i.e. for 9701,6085 is 59030585

GCF of denominators i.e. for 230,1971 is 1.

Thus, LCM of Fractions is 59030585.Finally, LCM of Fractions for 9701/230, 6085/1971 is 59030585.