Least Common Multiple of 20/860, 89/201, 985/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/860, 89/201, 985/812 quickly i.e. 350660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/860, 89/201, 985/812 is 350660.

LCM(20/860, 89/201, 985/812) = 350660

LCM of 20/860, 89/201, 985/812

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 20/860,89/201,985/812

Given numbers are 20/860,89/201,985/812

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 20,89,985

Least Common Multiple of Numerators i.e. LCM of 20,89,985 is 350660.

GCF of Denominators means GCF of 860,201,812 as per the given fractions.

GCF of 860,201,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,89,985

LCM of Fractions 20/860,89/201,985/812 is 350660

5 20, 89, 985
4, 89, 197

∴ So the LCM of the given numbers is 5 x 4 x 89 x 197 = 350660

Least Common Multiple of 20,89,985 with GCF Formula

Least Common Multiple of 20,89,985 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 20,89,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,89,985) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(20,89,985) x common factors =1 x 5 = 5

LCM(20,89,985) = ( 20 × 89 × 985 ) / 5

LCM(20,89,985) = 1753300 / 5

LCM(20,89,985) = 350660


Lets's calculate GCF of 860,201,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350660/1

Therefore the LCM of Fractions 20/860,89/201,985/812 is 350660

Greatest Common Factor of 860,201,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,201,812 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 860,201,812 . The biggest common factor number is the GCF number.
So the greatest common factor 860,201,812 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 20/860, 89/201, 985/812

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 20/860, 89/201, 985/812?

Answer: LCM of Numerators as per given numbers 20/860, 89/201, 985/812 is

LCM of Numerators i.e. for 20,89,985 is 350660

GCF of denominators i.e. for 860,201,812 is 1.

Thus, LCM of Fractions is 350660.Finally, LCM of Fractions for 20/860, 89/201, 985/812 is 350660.