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 384, 216, 148, 765, 968 i.e. 1315163520 smallest integer divisible by all numbers.
Least common multiple (LCM) of 384, 216, 148, 765, 968 is 1315163520.
LCM(384, 216, 148, 765, 968) = 1315163520
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 384, 216, 148, 765, 968 |
2 | 192, 108, 74, 765, 484 |
2 | 96, 54, 37, 765, 242 |
3 | 48, 27, 37, 765, 121 |
3 | 16, 9, 37, 255, 121 |
16, 3, 37, 85, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 16 x 3 x 37 x 85 x 121 = 1315163520
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 384,216,148,765,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,216,148,765,968) = 1
common factors(in case of two or more numbers have common factors) = 6912
GCF(384,216,148,765,968) x common factors =1 x 6912 = 6912
LCM(384,216,148,765,968) = ( 384 × 216 × 148 × 765 × 968 ) / 6912
LCM(384,216,148,765,968) = 9090410250240 / 6912
LCM(384,216,148,765,968) = 1315163520
∴ Least Common Multiple of 384,216,148,765,968 is 1315163520
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 384, 216, 148, 765, 968?
Answer: LCM of 384, 216, 148, 765, 968 is 1315163520.
2. What are the Factors of 1315163520?
Answer: Factors of 1315163520 are . There are integers that are factors of 1315163520
3. How to Find the LCM of 384, 216, 148, 765, 968 ?
Least Common Multiple of 384, 216, 148, 765, 968.
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(384, 216, 148, 765, 968) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 11 x 17 x 37 = 1315163520.