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 329, 437, 329, 345, 990 i.e. 142335270 smallest integer divisible by all numbers.
Least common multiple (LCM) of 329, 437, 329, 345, 990 is 142335270.
LCM(329, 437, 329, 345, 990) = 142335270
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 329, 437, 329, 345, 990 |
5 | 329, 437, 329, 115, 330 |
7 | 329, 437, 329, 23, 66 |
23 | 47, 437, 47, 23, 66 |
47 | 47, 19, 47, 1, 66 |
1, 19, 1, 1, 66 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 23 x 47 x 1 x 19 x 1 x 1 x 66 = 142335270
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 329,437,329,345,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,437,329,345,990) = 1
common factors(in case of two or more numbers have common factors) = 113505
GCF(329,437,329,345,990) x common factors =1 x 113505 = 113505
LCM(329,437,329,345,990) = ( 329 × 437 × 329 × 345 × 990 ) / 113505
LCM(329,437,329,345,990) = 16155764821350 / 113505
LCM(329,437,329,345,990) = 142335270
∴ Least Common Multiple of 329,437,329,345,990 is 142335270
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 329, 437, 329, 345, 990?
Answer: LCM of 329, 437, 329, 345, 990 is 142335270.
2. What are the Factors of 142335270?
Answer: Factors of 142335270 are . There are integers that are factors of 142335270
3. How to Find the LCM of 329, 437, 329, 345, 990 ?
Least Common Multiple of 329, 437, 329, 345, 990.
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(329, 437, 329, 345, 990) = 2 x 3 x 3 x 5 x 7 x 11 x 19 x 23 x 47 = 142335270.