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, 219, 513 i.e. 8014086 smallest integer divisible by all numbers.
Least common multiple (LCM) of 214, 219, 513 is 8014086.
LCM(214, 219, 513) = 8014086
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 214, 219, 513 |
214, 73, 171 |
∴ So the LCM of the given numbers is 3 x 214 x 73 x 171 = 8014086
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 214,219,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,219,513) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(214,219,513) x common factors =1 x 3 = 3
LCM(214,219,513) = ( 214 × 219 × 513 ) / 3
LCM(214,219,513) = 24042258 / 3
LCM(214,219,513) = 8014086
∴ Least Common Multiple of 214,219,513 is 8014086
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 214, 219, 513?
Answer: LCM of 214, 219, 513 is 8014086.
2. What are the Factors of 8014086?
Answer: Factors of 8014086 are . There are integers that are factors of 8014086
3. How to Find the LCM of 214, 219, 513 ?
Least Common Multiple of 214, 219, 513.
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, 219, 513) = 2 x 3 x 3 x 3 x 19 x 73 x 107 = 8014086.