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, 861, 268, 248, 762 i.e. 29070556032 smallest integer divisible by all numbers.
Least common multiple (LCM) of 384, 861, 268, 248, 762 is 29070556032.
LCM(384, 861, 268, 248, 762) = 29070556032
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 384, 861, 268, 248, 762 |
2 | 192, 861, 134, 124, 381 |
2 | 96, 861, 67, 62, 381 |
3 | 48, 861, 67, 31, 381 |
16, 287, 67, 31, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 16 x 287 x 67 x 31 x 127 = 29070556032
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 384,861,268,248,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,861,268,248,762) = 1
common factors(in case of two or more numbers have common factors) = 576
GCF(384,861,268,248,762) x common factors =1 x 576 = 576
LCM(384,861,268,248,762) = ( 384 × 861 × 268 × 248 × 762 ) / 576
LCM(384,861,268,248,762) = 16744640274432 / 576
LCM(384,861,268,248,762) = 29070556032
∴ Least Common Multiple of 384,861,268,248,762 is 29070556032
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 384, 861, 268, 248, 762?
Answer: LCM of 384, 861, 268, 248, 762 is 29070556032.
2. What are the Factors of 29070556032?
Answer: Factors of 29070556032 are . There are integers that are factors of 29070556032
3. How to Find the LCM of 384, 861, 268, 248, 762 ?
Least Common Multiple of 384, 861, 268, 248, 762.
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, 861, 268, 248, 762) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 31 x 41 x 67 x 127 = 29070556032.