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 290, 605, 817, 152, 107 i.e. 12270130840 smallest integer divisible by all numbers.
Least common multiple (LCM) of 290, 605, 817, 152, 107 is 12270130840.
LCM(290, 605, 817, 152, 107) = 12270130840
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 290, 605, 817, 152, 107 |
5 | 145, 605, 817, 76, 107 |
19 | 29, 121, 817, 76, 107 |
29, 121, 43, 4, 107 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 29 x 121 x 43 x 4 x 107 = 12270130840
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 290,605,817,152,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,605,817,152,107) = 1
common factors(in case of two or more numbers have common factors) = 190
GCF(290,605,817,152,107) x common factors =1 x 190 = 190
LCM(290,605,817,152,107) = ( 290 × 605 × 817 × 152 × 107 ) / 190
LCM(290,605,817,152,107) = 2331324859600 / 190
LCM(290,605,817,152,107) = 12270130840
∴ Least Common Multiple of 290,605,817,152,107 is 12270130840
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 290, 605, 817, 152, 107?
Answer: LCM of 290, 605, 817, 152, 107 is 12270130840.
2. What are the Factors of 12270130840?
Answer: Factors of 12270130840 are . There are integers that are factors of 12270130840
3. How to Find the LCM of 290, 605, 817, 152, 107 ?
Least Common Multiple of 290, 605, 817, 152, 107.
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(290, 605, 817, 152, 107) = 2 x 2 x 2 x 5 x 11 x 11 x 19 x 29 x 43 x 107 = 12270130840.