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 318, 882, 824, 196, 204 i.e. 327408984 smallest integer divisible by all numbers.
Least common multiple (LCM) of 318, 882, 824, 196, 204 is 327408984.
LCM(318, 882, 824, 196, 204) = 327408984
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 318, 882, 824, 196, 204 |
2 | 159, 441, 412, 98, 102 |
3 | 159, 441, 206, 49, 51 |
7 | 53, 147, 206, 49, 17 |
7 | 53, 21, 206, 7, 17 |
53, 3, 206, 1, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 7 x 53 x 3 x 206 x 1 x 17 = 327408984
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 318,882,824,196,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,882,824,196,204) = 2
common factors(in case of two or more numbers have common factors) = 14112
GCF(318,882,824,196,204) x common factors =2 x 14112 = 28224
LCM(318,882,824,196,204) = ( 318 × 882 × 824 × 196 × 204 ) / 28224
LCM(318,882,824,196,204) = 9240791164416 / 28224
LCM(318,882,824,196,204) = 327408984
∴ Least Common Multiple of 318,882,824,196,204 is 327408984
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 882, 824, 196, 204?
Answer: LCM of 318, 882, 824, 196, 204 is 327408984.
2. What are the Factors of 327408984?
Answer: Factors of 327408984 are . There are integers that are factors of 327408984
3. How to Find the LCM of 318, 882, 824, 196, 204 ?
Least Common Multiple of 318, 882, 824, 196, 204.
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(318, 882, 824, 196, 204) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 17 x 53 x 103 = 327408984.