Least Common Multiple of 85/302, 8645/3071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/302, 8645/3071 quickly i.e. 146965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/302, 8645/3071 is 146965.

LCM(85/302, 8645/3071) = 146965

LCM of 85/302, 8645/3071

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 85/302,8645/3071

Given numbers are 85/302,8645/3071

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 85,8645

Least Common Multiple of Numerators i.e. LCM of 85,8645 is 146965.

GCF of Denominators means GCF of 302,3071 as per the given fractions.

GCF of 302,3071 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,8645

LCM of Fractions 85/302,8645/3071 is 146965

5 85, 8645
17, 1729

∴ So the LCM of the given numbers is 5 x 17 x 1729 = 146965

Least Common Multiple of 85,8645 with GCF Formula

Least Common Multiple of 85,8645 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 85,8645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,8645) = 5

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

GCF(85,8645) x common factors =5 x 1 = 5

LCM(85,8645) = ( 85 × 8645 ) / 5

LCM(85,8645) = 734825 / 5

LCM(85,8645) = 146965


Lets's calculate GCF of 302,3071

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146965/1

Therefore the LCM of Fractions 85/302,8645/3071 is 146965

Greatest Common Factor of 302,3071 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,3071 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 3071

List of positive integer factors of 3071 that divides 3071 without a remainder.

1,37,83,3071

Greatest Common Factor

We found the factors 302,3071 . The biggest common factor number is the GCF number.
So the greatest common factor 302,3071 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 85/302, 8645/3071

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 85/302, 8645/3071?

Answer: LCM of Numerators as per given numbers 85/302, 8645/3071 is

LCM of Numerators i.e. for 85,8645 is 146965

GCF of denominators i.e. for 302,3071 is 1.

Thus, LCM of Fractions is 146965.Finally, LCM of Fractions for 85/302, 8645/3071 is 146965.