Least Common Multiple of 99, 30, 45
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 99, 30, 45 i.e. 990 smallest integer divisible by all numbers.
Least common multiple (LCM) of 99, 30, 45 is 990.
LCM(99, 30, 45) = 990
LCM of 99, 30, 45
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 99, 30, 45 by common division method
- Least Common Multiple of 99, 30, 45 with GCF Formula
Least Common Multiple (LCM) of 99,30,45 is 990
| 3 | 99, 30, 45 |
| 3 | 33, 10, 15 |
| 5 | 11, 10, 5 |
| 11, 2, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 2 x 1 = 990
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 99,30,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,30,45) = 3
common factors(in case of two or more numbers have common factors) = 45
GCF(99,30,45) x common factors =3 x 45 = 135
LCM(99,30,45) = ( 99 × 30 × 45 ) / 135
LCM(99,30,45) = 133650 / 135
LCM(99,30,45) = 990
∴ Least Common Multiple of 99,30,45 is 990
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 99, 30, 45
1. What is the LCM of 99, 30, 45?
Answer: LCM of 99, 30, 45 is 990.
2. What are the Factors of 990?
Answer: Factors of 990 are . There are integers that are factors of 990
3. How to Find the LCM of 99, 30, 45 ?
Least Common Multiple of 99, 30, 45.
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(99, 30, 45) = 2 x 3 x 3 x 5 x 11 = 990.