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 407, 481, 767 i.e. 312169 smallest integer divisible by all numbers.
Least common multiple (LCM) of 407, 481, 767 is 312169.
LCM(407, 481, 767) = 312169
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
13 | 407, 481, 767 |
37 | 407, 37, 59 |
11, 1, 59 |
∴ So the LCM of the given numbers is 13 x 37 x 11 x 1 x 59 = 312169
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 407,481,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,481,767) = 1
common factors(in case of two or more numbers have common factors) = 481
GCF(407,481,767) x common factors =1 x 481 = 481
LCM(407,481,767) = ( 407 × 481 × 767 ) / 481
LCM(407,481,767) = 150153289 / 481
LCM(407,481,767) = 312169
∴ Least Common Multiple of 407,481,767 is 312169
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 481, 767?
Answer: LCM of 407, 481, 767 is 312169.
2. What are the Factors of 312169?
Answer: Factors of 312169 are . There are integers that are factors of 312169
3. How to Find the LCM of 407, 481, 767 ?
Least Common Multiple of 407, 481, 767.
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(407, 481, 767) = 11 x 13 x 37 x 59 = 312169.