Least Common Multiple of 55, 90, 150
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 55, 90, 150 i.e. 4950 smallest integer divisible by all numbers.
Least common multiple (LCM) of 55, 90, 150 is 4950.
LCM(55, 90, 150) = 4950
LCM of 55, 90, 150
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 55, 90, 150 by common division method
- Least Common Multiple of 55, 90, 150 with GCF Formula
Least Common Multiple (LCM) of 55,90,150 is 4950
| 2 | 55, 90, 150 |
| 3 | 55, 45, 75 |
| 5 | 55, 15, 25 |
| 11, 3, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 3 x 5 = 4950
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 55,90,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,90,150) = 5
common factors(in case of two or more numbers have common factors) = 30
GCF(55,90,150) x common factors =5 x 30 = 150
LCM(55,90,150) = ( 55 × 90 × 150 ) / 150
LCM(55,90,150) = 742500 / 150
LCM(55,90,150) = 4950
∴ Least Common Multiple of 55,90,150 is 4950
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
Frequently Asked Questions on LCM of 55, 90, 150
1. What is the LCM of 55, 90, 150?
Answer: LCM of 55, 90, 150 is 4950.
2. What are the Factors of 4950?
Answer: Factors of 4950 are . There are integers that are factors of 4950
3. How to Find the LCM of 55, 90, 150 ?
Least Common Multiple of 55, 90, 150.
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(55, 90, 150) = 2 x 3 x 3 x 5 x 5 x 11 = 4950.