Least Common Multiple of 306, 510
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 306, 510 i.e. 1530 smallest integer divisible by all numbers.
Least common multiple (LCM) of 306, 510 is 1530.
LCM(306, 510) = 1530
LCM of 306, 510
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 306, 510 by common division method
- Least Common Multiple of 306, 510 with GCF Formula
Least Common Multiple (LCM) of 306,510 is 1530
| 2 | 306, 510 |
| 3 | 153, 255 |
| 17 | 51, 85 |
| 3, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 3 x 5 = 1530
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 306,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,510) = 102
common factors(in case of two or more numbers have common factors) = 1
GCF(306,510) x common factors =102 x 1 = 102
LCM(306,510) = ( 306 × 510 ) / 102
LCM(306,510) = 156060 / 102
LCM(306,510) = 1530
∴ Least Common Multiple of 306,510 is 1530
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 306, 510
1. What is the LCM of 306, 510?
Answer: LCM of 306, 510 is 1530.
2. What are the Factors of 1530?
Answer: Factors of 1530 are . There are integers that are factors of 1530
3. How to Find the LCM of 306, 510 ?
Least Common Multiple of 306, 510.
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(306, 510) = 2 x 3 x 3 x 5 x 17 = 1530.