Least Common Multiple of 17, 17, 30, 85
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 17, 17, 30, 85 i.e. 510 smallest integer divisible by all numbers.
Least common multiple (LCM) of 17, 17, 30, 85 is 510.
LCM(17, 17, 30, 85) = 510
LCM of 17, 17, 30, 85
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 17, 17, 30, 85 by common division method
- Least Common Multiple of 17, 17, 30, 85 with GCF Formula
Least Common Multiple (LCM) of 17,17,30,85 is 510
| 5 | 17, 17, 30, 85 |
| 17 | 17, 17, 6, 17 |
| 1, 1, 6, 1 |
∴ So the LCM of the given numbers is 5 x 17 x 1 x 1 x 6 x 1 = 510
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 17,17,30,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,17,30,85) = 1
common factors(in case of two or more numbers have common factors) = 1445
GCF(17,17,30,85) x common factors =1 x 1445 = 1445
LCM(17,17,30,85) = ( 17 × 17 × 30 × 85 ) / 1445
LCM(17,17,30,85) = 736950 / 1445
LCM(17,17,30,85) = 510
∴ Least Common Multiple of 17,17,30,85 is 510
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 17, 17, 30, 85
1. What is the LCM of 17, 17, 30, 85?
Answer: LCM of 17, 17, 30, 85 is 510.
2. What are the Factors of 510?
Answer: Factors of 510 are . There are integers that are factors of 510
3. How to Find the LCM of 17, 17, 30, 85 ?
Least Common Multiple of 17, 17, 30, 85.
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(17, 17, 30, 85) = 2 x 3 x 5 x 17 = 510.