Least Common Multiple of 99, 45, 660
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, 45, 660 i.e. 1980 smallest integer divisible by all numbers.
Least common multiple (LCM) of 99, 45, 660 is 1980.
LCM(99, 45, 660) = 1980
LCM of 99, 45, 660
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 99, 45, 660 by common division method
- Least Common Multiple of 99, 45, 660 with GCF Formula
Least Common Multiple (LCM) of 99,45,660 is 1980
| 3 | 99, 45, 660 |
| 3 | 33, 15, 220 |
| 5 | 11, 5, 220 |
| 11 | 11, 1, 44 |
| 1, 1, 4 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 1 x 1 x 4 = 1980
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 99,45,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,45,660) = 3
common factors(in case of two or more numbers have common factors) = 495
GCF(99,45,660) x common factors =3 x 495 = 1485
LCM(99,45,660) = ( 99 × 45 × 660 ) / 1485
LCM(99,45,660) = 2940300 / 1485
LCM(99,45,660) = 1980
∴ Least Common Multiple of 99,45,660 is 1980
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 99, 45, 660
1. What is the LCM of 99, 45, 660?
Answer: LCM of 99, 45, 660 is 1980.
2. What are the Factors of 1980?
Answer: Factors of 1980 are . There are integers that are factors of 1980
3. How to Find the LCM of 99, 45, 660 ?
Least Common Multiple of 99, 45, 660.
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, 45, 660) = 2 x 2 x 3 x 3 x 5 x 11 = 1980.