Free Online Least Common Multiple Calculator
LCM Calculator
Find the LCM of a hard and fast of numbers with this calculator which additionally indicates the stairs and a way to do the paintings. Use this calculator by clicking the below link.
Input the numbers you need to discover the LCM for. You can use commas or areas to split your numbers. But do now no longer use commas inside your numbers. For example, enter 2500, 1000 and now no longer 2,500, 1,000.
How to use Least Common Multiple Calculator:
The Least Common Multiple (LCM) is likewise called the Lowest Common Multiple (LCM) and Least Common Divisor (LCD). For integers a and b, denoted LCM(a,b), the LCM is the smallest effective integer this is flippantly divisible through each a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30.
The LCM of or greater numbers is the smallest quantity this is flippantly divisible through all numbers with inside the set.
How to Find the Least Common Multiple LCM
This LCM calculator with steps unearths the LCM and indicates the paintings the use of five unique methods:
Listing Multiples
Prime Factorization
Cake/Ladder Method
Division Method
Using the Greatest Common Factor GCF
How to Find LCM with the aid of using Listing Multiples
List the multiples of every wide variety till as a minimum one of the multiples seems on all lists
Find the smallest wide variety this is on all the lists
This wide variety is the LCM
Example: LCM(6,7,21)
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Multiples of 7: 7, 14, 21, 28, 35, 42, 56, 63
Multiples of 21: 21, 42, 63
Find the smallest wide variety this is on all the lists. We have it in formidable above.
So LCM(6,7, 21) is 42
How to locate LCM with the aid of using Prime Factorization
Find all of the top elements of every given wide variety.
List all of the top numbers located, as usually as they arise most usually for any individual given wide variety.
Multiply the listing of top elements collectively to locate the LCM.
The LCM(a,b) is calculated with the aid of using locating the top factorization of each a and b. Use the identical procedure for the LCM of extra than 2 numbers.
For example, for LCM(12,30) we locate:
Prime factorization of 12 = 2 × 2 × 3
Prime factorization of 30 = 2 × 3 × 5
Using all top numbers located as frequently as every takes place most usually we take 2 × 2 × 3 × 5 = 60
Therefore LCM(12,30) = 60.
For example, for LCM(24,300) we locate:
Prime factorization of 24 = 2 × 2 × 2 × 3
Prime factorization of 300 = 2 × 2 × 3 × 5 × 5
Using all top numbers located as frequently as every takes place most usually we take 2 × 2 × 2 × 3 × 5 × 5 = 600
Therefore LCM(24,300) = 600.
