Least Common Multiple of 21, 231, 309
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 21, 231, 309 i.e. 23793 smallest integer divisible by all numbers.
Least common multiple (LCM) of 21, 231, 309 is 23793.
LCM(21, 231, 309) = 23793
LCM of 21, 231, 309
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 21, 231, 309 by common division method
- Least Common Multiple of 21, 231, 309 with GCF Formula
Least Common Multiple (LCM) of 21,231,309 is 23793
| 3 | 21, 231, 309 |
| 7 | 7, 77, 103 |
| 1, 11, 103 |
∴ So the LCM of the given numbers is 3 x 7 x 1 x 11 x 103 = 23793
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 21,231,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,231,309) = 3
common factors(in case of two or more numbers have common factors) = 21
GCF(21,231,309) x common factors =3 x 21 = 63
LCM(21,231,309) = ( 21 × 231 × 309 ) / 63
LCM(21,231,309) = 1498959 / 63
LCM(21,231,309) = 23793
∴ Least Common Multiple of 21,231,309 is 23793
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 21, 231, 309
1. What is the LCM of 21, 231, 309?
Answer: LCM of 21, 231, 309 is 23793.
2. What are the Factors of 23793?
Answer: Factors of 23793 are . There are integers that are factors of 23793
3. How to Find the LCM of 21, 231, 309 ?
Least Common Multiple of 21, 231, 309.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(21, 231, 309) = 3 x 7 x 11 x 103 = 23793.