Least Common Multiple of 82, 30, 410
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 82, 30, 410 i.e. 1230 smallest integer divisible by all numbers.
Least common multiple (LCM) of 82, 30, 410 is 1230.
LCM(82, 30, 410) = 1230
LCM of 82, 30, 410
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 82, 30, 410 by common division method
- Least Common Multiple of 82, 30, 410 with GCF Formula
Least Common Multiple (LCM) of 82,30,410 is 1230
| 2 | 82, 30, 410 |
| 5 | 41, 15, 205 |
| 41 | 41, 3, 41 |
| 1, 3, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 41 x 1 x 3 x 1 = 1230
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 82,30,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,30,410) = 2
common factors(in case of two or more numbers have common factors) = 410
GCF(82,30,410) x common factors =2 x 410 = 820
LCM(82,30,410) = ( 82 × 30 × 410 ) / 820
LCM(82,30,410) = 1008600 / 820
LCM(82,30,410) = 1230
∴ Least Common Multiple of 82,30,410 is 1230
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 82, 30, 410
1. What is the LCM of 82, 30, 410?
Answer: LCM of 82, 30, 410 is 1230.
2. What are the Factors of 1230?
Answer: Factors of 1230 are . There are integers that are factors of 1230
3. How to Find the LCM of 82, 30, 410 ?
Least Common Multiple of 82, 30, 410.
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(82, 30, 410) = 2 x 3 x 5 x 41 = 1230.