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 217, 569, 387, 516, 668 i.e. 31919746068 smallest integer divisible by all numbers.
Least common multiple (LCM) of 217, 569, 387, 516, 668 is 31919746068.
LCM(217, 569, 387, 516, 668) = 31919746068
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 217, 569, 387, 516, 668 |
2 | 217, 569, 387, 258, 334 |
3 | 217, 569, 387, 129, 167 |
43 | 217, 569, 43, 129, 167 |
217, 569, 1, 3, 167 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 217 x 569 x 1 x 3 x 167 = 31919746068
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 217,569,387,516,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,569,387,516,668) = 1
common factors(in case of two or more numbers have common factors) = 516
GCF(217,569,387,516,668) x common factors =1 x 516 = 516
LCM(217,569,387,516,668) = ( 217 × 569 × 387 × 516 × 668 ) / 516
LCM(217,569,387,516,668) = 16470588971088 / 516
LCM(217,569,387,516,668) = 31919746068
∴ Least Common Multiple of 217,569,387,516,668 is 31919746068
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 217, 569, 387, 516, 668?
Answer: LCM of 217, 569, 387, 516, 668 is 31919746068.
2. What are the Factors of 31919746068?
Answer: Factors of 31919746068 are . There are integers that are factors of 31919746068
3. How to Find the LCM of 217, 569, 387, 516, 668 ?
Least Common Multiple of 217, 569, 387, 516, 668.
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(217, 569, 387, 516, 668) = 2 x 2 x 3 x 3 x 7 x 31 x 43 x 167 x 569 = 31919746068.