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 300, 399, 369, 390 i.e. 63800100 smallest integer divisible by all numbers.
Least common multiple (LCM) of 300, 399, 369, 390 is 63800100.
LCM(300, 399, 369, 390) = 63800100
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 300, 399, 369, 390 |
3 | 150, 399, 369, 195 |
5 | 50, 133, 123, 65 |
10, 133, 123, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 10 x 133 x 123 x 13 = 63800100
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 300,399,369,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,399,369,390) = 3
common factors(in case of two or more numbers have common factors) = 90
GCF(300,399,369,390) x common factors =3 x 90 = 270
LCM(300,399,369,390) = ( 300 × 399 × 369 × 390 ) / 270
LCM(300,399,369,390) = 17226027000 / 270
LCM(300,399,369,390) = 63800100
∴ Least Common Multiple of 300,399,369,390 is 63800100
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 300, 399, 369, 390?
Answer: LCM of 300, 399, 369, 390 is 63800100.
2. What are the Factors of 63800100?
Answer: Factors of 63800100 are . There are integers that are factors of 63800100
3. How to Find the LCM of 300, 399, 369, 390 ?
Least Common Multiple of 300, 399, 369, 390.
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(300, 399, 369, 390) = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 13 x 19 x 41 = 63800100.