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 412, 505, 354 i.e. 36826620 smallest integer divisible by all numbers.
Least common multiple (LCM) of 412, 505, 354 is 36826620.
LCM(412, 505, 354) = 36826620
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 412, 505, 354 |
206, 505, 177 |
∴ So the LCM of the given numbers is 2 x 206 x 505 x 177 = 36826620
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 412,505,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,505,354) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(412,505,354) x common factors =1 x 2 = 2
LCM(412,505,354) = ( 412 × 505 × 354 ) / 2
LCM(412,505,354) = 73653240 / 2
LCM(412,505,354) = 36826620
∴ Least Common Multiple of 412,505,354 is 36826620
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 412, 505, 354?
Answer: LCM of 412, 505, 354 is 36826620.
2. What are the Factors of 36826620?
Answer: Factors of 36826620 are . There are integers that are factors of 36826620
3. How to Find the LCM of 412, 505, 354 ?
Least Common Multiple of 412, 505, 354.
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(412, 505, 354) = 2 x 2 x 3 x 5 x 59 x 101 x 103 = 36826620.