Least Common Multiple of 1867/865, 9036/3511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1867/865, 9036/3511 quickly i.e. 16870212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1867/865, 9036/3511 is 16870212.

LCM(1867/865, 9036/3511) = 16870212

LCM of 1867/865, 9036/3511

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 1867/865,9036/3511

Given numbers are 1867/865,9036/3511

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 1867,9036

Least Common Multiple of Numerators i.e. LCM of 1867,9036 is 16870212.

GCF of Denominators means GCF of 865,3511 as per the given fractions.

GCF of 865,3511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1867,9036

LCM of Fractions 1867/865,9036/3511 is 16870212

Given numbers has no common factors except 1. So, there LCM is their product i.e 16870212

Least Common Multiple of 1867,9036 with GCF Formula

Least Common Multiple of 1867,9036 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 1867,9036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1867,9036) = 1

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

GCF(1867,9036) x common factors =1 x 1 = 1

LCM(1867,9036) = ( 1867 × 9036 ) / 1

LCM(1867,9036) = 16870212 / 1

LCM(1867,9036) = 16870212


Lets's calculate GCF of 865,3511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16870212/1

Therefore the LCM of Fractions 1867/865,9036/3511 is 16870212

Greatest Common Factor of 865,3511 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,3511 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 3511

List of positive integer factors of 3511 that divides 3511 without a remainder.

1,3511

Greatest Common Factor

We found the factors 865,3511 . The biggest common factor number is the GCF number.
So the greatest common factor 865,3511 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 1867/865, 9036/3511

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 1867/865, 9036/3511?

Answer: LCM of Numerators as per given numbers 1867/865, 9036/3511 is

LCM of Numerators i.e. for 1867,9036 is 16870212

GCF of denominators i.e. for 865,3511 is 1.

Thus, LCM of Fractions is 16870212.Finally, LCM of Fractions for 1867/865, 9036/3511 is 16870212.