Least Common Multiple of 33, 55, 105
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 33, 55, 105 i.e. 1155 smallest integer divisible by all numbers.
Least common multiple (LCM) of 33, 55, 105 is 1155.
LCM(33, 55, 105) = 1155
LCM of 33, 55, 105
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 33, 55, 105 by common division method
- Least Common Multiple of 33, 55, 105 with GCF Formula
Least Common Multiple (LCM) of 33,55,105 is 1155
| 3 | 33, 55, 105 |
| 5 | 11, 55, 35 |
| 11 | 11, 11, 7 |
| 1, 1, 7 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 1 x 7 = 1155
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 33,55,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,55,105) = 1
common factors(in case of two or more numbers have common factors) = 165
GCF(33,55,105) x common factors =1 x 165 = 165
LCM(33,55,105) = ( 33 × 55 × 105 ) / 165
LCM(33,55,105) = 190575 / 165
LCM(33,55,105) = 1155
∴ Least Common Multiple of 33,55,105 is 1155
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 33, 55, 105
1. What is the LCM of 33, 55, 105?
Answer: LCM of 33, 55, 105 is 1155.
2. What are the Factors of 1155?
Answer: Factors of 1155 are . There are integers that are factors of 1155
3. How to Find the LCM of 33, 55, 105 ?
Least Common Multiple of 33, 55, 105.
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(33, 55, 105) = 3 x 5 x 7 x 11 = 1155.
