Least Common Multiple of 3667/871, 8685/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3667/871, 8685/801 quickly i.e. 165015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3667/871, 8685/801 is 165015.

LCM(3667/871, 8685/801) = 165015

LCM of 3667/871, 8685/801

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 3667/871,8685/801

Given numbers are 3667/871,8685/801

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 3667,8685

Least Common Multiple of Numerators i.e. LCM of 3667,8685 is 165015.

GCF of Denominators means GCF of 871,801 as per the given fractions.

GCF of 871,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3667,8685

LCM of Fractions 3667/871,8685/801 is 165015

193 3667, 8685
19, 45

∴ So the LCM of the given numbers is 193 x 19 x 45 = 165015

Least Common Multiple of 3667,8685 with GCF Formula

Least Common Multiple of 3667,8685 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 3667,8685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3667,8685) = 193

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

GCF(3667,8685) x common factors =193 x 1 = 193

LCM(3667,8685) = ( 3667 × 8685 ) / 193

LCM(3667,8685) = 31847895 / 193

LCM(3667,8685) = 165015


Lets's calculate GCF of 871,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165015/1

Therefore the LCM of Fractions 3667/871,8685/801 is 165015

Greatest Common Factor of 871,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,801 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 871,801 . The biggest common factor number is the GCF number.
So the greatest common factor 871,801 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 3667/871, 8685/801

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 3667/871, 8685/801?

Answer: LCM of Numerators as per given numbers 3667/871, 8685/801 is

LCM of Numerators i.e. for 3667,8685 is 165015

GCF of denominators i.e. for 871,801 is 1.

Thus, LCM of Fractions is 165015.Finally, LCM of Fractions for 3667/871, 8685/801 is 165015.