Least Common Multiple of 860/865, 3693/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 860/865, 3693/142 quickly i.e. 3175980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 860/865, 3693/142 is 3175980.

LCM(860/865, 3693/142) = 3175980

LCM of 860/865, 3693/142

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 860/865,3693/142

Given numbers are 860/865,3693/142

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 860,3693

Least Common Multiple of Numerators i.e. LCM of 860,3693 is 3175980.

GCF of Denominators means GCF of 865,142 as per the given fractions.

GCF of 865,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 860,3693

LCM of Fractions 860/865,3693/142 is 3175980

Given numbers has no common factors except 1. So, there LCM is their product i.e 3175980

Least Common Multiple of 860,3693 with GCF Formula

Least Common Multiple of 860,3693 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 860,3693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,3693) = 1

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

GCF(860,3693) x common factors =1 x 1 = 1

LCM(860,3693) = ( 860 × 3693 ) / 1

LCM(860,3693) = 3175980 / 1

LCM(860,3693) = 3175980


Lets's calculate GCF of 865,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3175980/1

Therefore the LCM of Fractions 860/865,3693/142 is 3175980

Greatest Common Factor of 865,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,142 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 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 865,142 . The biggest common factor number is the GCF number.
So the greatest common factor 865,142 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 860/865, 3693/142

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 860/865, 3693/142?

Answer: LCM of Numerators as per given numbers 860/865, 3693/142 is

LCM of Numerators i.e. for 860,3693 is 3175980

GCF of denominators i.e. for 865,142 is 1.

Thus, LCM of Fractions is 3175980.Finally, LCM of Fractions for 860/865, 3693/142 is 3175980.