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 390, 962, 698, 220, 519 i.e. 19167282420 smallest integer divisible by all numbers.
Least common multiple (LCM) of 390, 962, 698, 220, 519 is 19167282420.
LCM(390, 962, 698, 220, 519) = 19167282420
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 390, 962, 698, 220, 519 |
3 | 195, 481, 349, 110, 519 |
5 | 65, 481, 349, 110, 173 |
13 | 13, 481, 349, 22, 173 |
1, 37, 349, 22, 173 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 37 x 349 x 22 x 173 = 19167282420
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 390,962,698,220,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,962,698,220,519) = 1
common factors(in case of two or more numbers have common factors) = 1560
GCF(390,962,698,220,519) x common factors =1 x 1560 = 1560
LCM(390,962,698,220,519) = ( 390 × 962 × 698 × 220 × 519 ) / 1560
LCM(390,962,698,220,519) = 29900960575200 / 1560
LCM(390,962,698,220,519) = 19167282420
∴ Least Common Multiple of 390,962,698,220,519 is 19167282420
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 390, 962, 698, 220, 519?
Answer: LCM of 390, 962, 698, 220, 519 is 19167282420.
2. What are the Factors of 19167282420?
Answer: Factors of 19167282420 are . There are integers that are factors of 19167282420
3. How to Find the LCM of 390, 962, 698, 220, 519 ?
Least Common Multiple of 390, 962, 698, 220, 519.
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(390, 962, 698, 220, 519) = 2 x 2 x 3 x 5 x 11 x 13 x 37 x 173 x 349 = 19167282420.