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 620, 812, 414, 174, 180 i.e. 26053020 smallest integer divisible by all numbers.
Least common multiple (LCM) of 620, 812, 414, 174, 180 is 26053020.
LCM(620, 812, 414, 174, 180) = 26053020
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 620, 812, 414, 174, 180 |
2 | 310, 406, 207, 87, 90 |
3 | 155, 203, 207, 87, 45 |
3 | 155, 203, 69, 29, 15 |
5 | 155, 203, 23, 29, 5 |
29 | 31, 203, 23, 29, 1 |
31, 7, 23, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 29 x 31 x 7 x 23 x 1 x 1 = 26053020
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 620,812,414,174,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,812,414,174,180) = 2
common factors(in case of two or more numbers have common factors) = 125280
GCF(620,812,414,174,180) x common factors =2 x 125280 = 250560
LCM(620,812,414,174,180) = ( 620 × 812 × 414 × 174 × 180 ) / 250560
LCM(620,812,414,174,180) = 6527844691200 / 250560
LCM(620,812,414,174,180) = 26053020
∴ Least Common Multiple of 620,812,414,174,180 is 26053020
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 620, 812, 414, 174, 180?
Answer: LCM of 620, 812, 414, 174, 180 is 26053020.
2. What are the Factors of 26053020?
Answer: Factors of 26053020 are . There are integers that are factors of 26053020
3. How to Find the LCM of 620, 812, 414, 174, 180 ?
Least Common Multiple of 620, 812, 414, 174, 180.
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(620, 812, 414, 174, 180) = 2 x 2 x 3 x 3 x 5 x 7 x 23 x 29 x 31 = 26053020.