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 338, 341, 367, 972, 810 i.e. 102788236980 smallest integer divisible by all numbers.
Least common multiple (LCM) of 338, 341, 367, 972, 810 is 102788236980.
LCM(338, 341, 367, 972, 810) = 102788236980
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 338, 341, 367, 972, 810 |
3 | 169, 341, 367, 486, 405 |
3 | 169, 341, 367, 162, 135 |
3 | 169, 341, 367, 54, 45 |
3 | 169, 341, 367, 18, 15 |
169, 341, 367, 6, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 169 x 341 x 367 x 6 x 5 = 102788236980
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 338,341,367,972,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,341,367,972,810) = 1
common factors(in case of two or more numbers have common factors) = 324
GCF(338,341,367,972,810) x common factors =1 x 324 = 324
LCM(338,341,367,972,810) = ( 338 × 341 × 367 × 972 × 810 ) / 324
LCM(338,341,367,972,810) = 33303388781520 / 324
LCM(338,341,367,972,810) = 102788236980
∴ Least Common Multiple of 338,341,367,972,810 is 102788236980
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 341, 367, 972, 810?
Answer: LCM of 338, 341, 367, 972, 810 is 102788236980.
2. What are the Factors of 102788236980?
Answer: Factors of 102788236980 are . There are integers that are factors of 102788236980
3. How to Find the LCM of 338, 341, 367, 972, 810 ?
Least Common Multiple of 338, 341, 367, 972, 810.
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(338, 341, 367, 972, 810) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 13 x 13 x 31 x 367 = 102788236980.