Least Common Multiple of 85, 90, 234
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 85, 90, 234 i.e. 19890 smallest integer divisible by all numbers.
Least common multiple (LCM) of 85, 90, 234 is 19890.
LCM(85, 90, 234) = 19890
LCM of 85, 90, 234
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 85, 90, 234 by common division method
- Least Common Multiple of 85, 90, 234 with GCF Formula
Least Common Multiple (LCM) of 85,90,234 is 19890
| 2 | 85, 90, 234 |
| 3 | 85, 45, 117 |
| 3 | 85, 15, 39 |
| 5 | 85, 5, 13 |
| 17, 1, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 17 x 1 x 13 = 19890
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 85,90,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,90,234) = 1
common factors(in case of two or more numbers have common factors) = 90
GCF(85,90,234) x common factors =1 x 90 = 90
LCM(85,90,234) = ( 85 × 90 × 234 ) / 90
LCM(85,90,234) = 1790100 / 90
LCM(85,90,234) = 19890
∴ Least Common Multiple of 85,90,234 is 19890
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 85, 90, 234
1. What is the LCM of 85, 90, 234?
Answer: LCM of 85, 90, 234 is 19890.
2. What are the Factors of 19890?
Answer: Factors of 19890 are . There are integers that are factors of 19890
3. How to Find the LCM of 85, 90, 234 ?
Least Common Multiple of 85, 90, 234.
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(85, 90, 234) = 2 x 3 x 3 x 5 x 13 x 17 = 19890.
