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 351, 405, 45 i.e. 5265 smallest integer divisible by all numbers.
Least common multiple (LCM) of 351, 405, 45 is 5265.
LCM(351, 405, 45) = 5265
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 351, 405, 45 |
3 | 117, 135, 15 |
3 | 39, 45, 5 |
5 | 13, 15, 5 |
13, 3, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 13 x 3 x 1 = 5265
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 351,405,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,405,45) = 9
common factors(in case of two or more numbers have common factors) = 135
GCF(351,405,45) x common factors =9 x 135 = 1215
LCM(351,405,45) = ( 351 × 405 × 45 ) / 1215
LCM(351,405,45) = 6396975 / 1215
LCM(351,405,45) = 5265
∴ Least Common Multiple of 351,405,45 is 5265
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 351, 405, 45?
Answer: LCM of 351, 405, 45 is 5265.
2. What are the Factors of 5265?
Answer: Factors of 5265 are . There are integers that are factors of 5265
3. How to Find the LCM of 351, 405, 45 ?
Least Common Multiple of 351, 405, 45.
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(351, 405, 45) = 3 x 3 x 3 x 3 x 5 x 13 = 5265.