Least Common Multiple of 15, 46, 345
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 15, 46, 345 i.e. 690 smallest integer divisible by all numbers.
Least common multiple (LCM) of 15, 46, 345 is 690.
LCM(15, 46, 345) = 690
LCM of 15, 46, 345
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 15, 46, 345 by common division method
- Least Common Multiple of 15, 46, 345 with GCF Formula
Least Common Multiple (LCM) of 15,46,345 is 690
| 3 | 15, 46, 345 |
| 5 | 5, 46, 115 |
| 23 | 1, 46, 23 |
| 1, 2, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 23 x 1 x 2 x 1 = 690
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 15,46,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,46,345) = 1
common factors(in case of two or more numbers have common factors) = 345
GCF(15,46,345) x common factors =1 x 345 = 345
LCM(15,46,345) = ( 15 × 46 × 345 ) / 345
LCM(15,46,345) = 238050 / 345
LCM(15,46,345) = 690
∴ Least Common Multiple of 15,46,345 is 690
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 15, 46, 345
1. What is the LCM of 15, 46, 345?
Answer: LCM of 15, 46, 345 is 690.
2. What are the Factors of 690?
Answer: Factors of 690 are . There are integers that are factors of 690
3. How to Find the LCM of 15, 46, 345 ?
Least Common Multiple of 15, 46, 345.
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(15, 46, 345) = 2 x 3 x 5 x 23 = 690.