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 214, 512, 431 i.e. 23611904 smallest integer divisible by all numbers.
Least common multiple (LCM) of 214, 512, 431 is 23611904.
LCM(214, 512, 431) = 23611904
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 214, 512, 431 |
107, 256, 431 |
∴ So the LCM of the given numbers is 2 x 107 x 256 x 431 = 23611904
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 214,512,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,512,431) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(214,512,431) x common factors =1 x 2 = 2
LCM(214,512,431) = ( 214 × 512 × 431 ) / 2
LCM(214,512,431) = 47223808 / 2
LCM(214,512,431) = 23611904
∴ Least Common Multiple of 214,512,431 is 23611904
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 214, 512, 431?
Answer: LCM of 214, 512, 431 is 23611904.
2. What are the Factors of 23611904?
Answer: Factors of 23611904 are . There are integers that are factors of 23611904
3. How to Find the LCM of 214, 512, 431 ?
Least Common Multiple of 214, 512, 431.
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(214, 512, 431) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 107 x 431 = 23611904.