Least Common Multiple of 27, 30, 423
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 27, 30, 423 i.e. 12690 smallest integer divisible by all numbers.
Least common multiple (LCM) of 27, 30, 423 is 12690.
LCM(27, 30, 423) = 12690
LCM of 27, 30, 423
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 27, 30, 423 by common division method
- Least Common Multiple of 27, 30, 423 with GCF Formula
Least Common Multiple (LCM) of 27,30,423 is 12690
| 3 | 27, 30, 423 |
| 3 | 9, 10, 141 |
| 3, 10, 47 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 10 x 47 = 12690
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 27,30,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,30,423) = 3
common factors(in case of two or more numbers have common factors) = 9
GCF(27,30,423) x common factors =3 x 9 = 27
LCM(27,30,423) = ( 27 × 30 × 423 ) / 27
LCM(27,30,423) = 342630 / 27
LCM(27,30,423) = 12690
∴ Least Common Multiple of 27,30,423 is 12690
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 27, 30, 423
1. What is the LCM of 27, 30, 423?
Answer: LCM of 27, 30, 423 is 12690.
2. What are the Factors of 12690?
Answer: Factors of 12690 are . There are integers that are factors of 12690
3. How to Find the LCM of 27, 30, 423 ?
Least Common Multiple of 27, 30, 423.
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(27, 30, 423) = 2 x 3 x 3 x 3 x 5 x 47 = 12690.
