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 256, 768, 780 i.e. 49920 smallest integer divisible by all numbers.
Least common multiple (LCM) of 256, 768, 780 is 49920.
LCM(256, 768, 780) = 49920
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 256, 768, 780 |
2 | 128, 384, 390 |
2 | 64, 192, 195 |
2 | 32, 96, 195 |
2 | 16, 48, 195 |
2 | 8, 24, 195 |
2 | 4, 12, 195 |
2 | 2, 6, 195 |
3 | 1, 3, 195 |
1, 1, 65 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 1 x 65 = 49920
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 256,768,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,768,780) = 4
common factors(in case of two or more numbers have common factors) = 768
GCF(256,768,780) x common factors =4 x 768 = 3072
LCM(256,768,780) = ( 256 × 768 × 780 ) / 3072
LCM(256,768,780) = 153354240 / 3072
LCM(256,768,780) = 49920
∴ Least Common Multiple of 256,768,780 is 49920
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 256, 768, 780?
Answer: LCM of 256, 768, 780 is 49920.
2. What are the Factors of 49920?
Answer: Factors of 49920 are . There are integers that are factors of 49920
3. How to Find the LCM of 256, 768, 780 ?
Least Common Multiple of 256, 768, 780.
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(256, 768, 780) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 = 49920.