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 111, 396, 820, 574, 638 i.e. 609742980 smallest integer divisible by all numbers.
Least common multiple (LCM) of 111, 396, 820, 574, 638 is 609742980.
LCM(111, 396, 820, 574, 638) = 609742980
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 111, 396, 820, 574, 638 |
2 | 111, 198, 410, 287, 319 |
3 | 111, 99, 205, 287, 319 |
11 | 37, 33, 205, 287, 319 |
41 | 37, 3, 205, 287, 29 |
37, 3, 5, 7, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 41 x 37 x 3 x 5 x 7 x 29 = 609742980
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 111,396,820,574,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,396,820,574,638) = 1
common factors(in case of two or more numbers have common factors) = 21648
GCF(111,396,820,574,638) x common factors =1 x 21648 = 21648
LCM(111,396,820,574,638) = ( 111 × 396 × 820 × 574 × 638 ) / 21648
LCM(111,396,820,574,638) = 13199716031040 / 21648
LCM(111,396,820,574,638) = 609742980
∴ Least Common Multiple of 111,396,820,574,638 is 609742980
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 111, 396, 820, 574, 638?
Answer: LCM of 111, 396, 820, 574, 638 is 609742980.
2. What are the Factors of 609742980?
Answer: Factors of 609742980 are . There are integers that are factors of 609742980
3. How to Find the LCM of 111, 396, 820, 574, 638 ?
Least Common Multiple of 111, 396, 820, 574, 638.
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(111, 396, 820, 574, 638) = 2 x 2 x 3 x 3 x 5 x 7 x 11 x 29 x 37 x 41 = 609742980.