Least Common Multiple of 34, 90, 300
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 34, 90, 300 i.e. 15300 smallest integer divisible by all numbers.
Least common multiple (LCM) of 34, 90, 300 is 15300.
LCM(34, 90, 300) = 15300
LCM of 34, 90, 300
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 34, 90, 300 by common division method
- Least Common Multiple of 34, 90, 300 with GCF Formula
Least Common Multiple (LCM) of 34,90,300 is 15300
| 2 | 34, 90, 300 |
| 3 | 17, 45, 150 |
| 5 | 17, 15, 50 |
| 17, 3, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 3 x 10 = 15300
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 34,90,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,90,300) = 2
common factors(in case of two or more numbers have common factors) = 30
GCF(34,90,300) x common factors =2 x 30 = 60
LCM(34,90,300) = ( 34 × 90 × 300 ) / 60
LCM(34,90,300) = 918000 / 60
LCM(34,90,300) = 15300
∴ Least Common Multiple of 34,90,300 is 15300
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 34, 90, 300
1. What is the LCM of 34, 90, 300?
Answer: LCM of 34, 90, 300 is 15300.
2. What are the Factors of 15300?
Answer: Factors of 15300 are . There are integers that are factors of 15300
3. How to Find the LCM of 34, 90, 300 ?
Least Common Multiple of 34, 90, 300.
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(34, 90, 300) = 2 x 2 x 3 x 3 x 5 x 5 x 17 = 15300.