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 455, 924, 736, 828 i.e. 33153120 smallest integer divisible by all numbers.
Least common multiple (LCM) of 455, 924, 736, 828 is 33153120.
LCM(455, 924, 736, 828) = 33153120
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 455, 924, 736, 828 |
2 | 455, 462, 368, 414 |
3 | 455, 231, 184, 207 |
7 | 455, 77, 184, 69 |
23 | 65, 11, 184, 69 |
65, 11, 8, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 23 x 65 x 11 x 8 x 3 = 33153120
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 455,924,736,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,924,736,828) = 1
common factors(in case of two or more numbers have common factors) = 7728
GCF(455,924,736,828) x common factors =1 x 7728 = 7728
LCM(455,924,736,828) = ( 455 × 924 × 736 × 828 ) / 7728
LCM(455,924,736,828) = 256207311360 / 7728
LCM(455,924,736,828) = 33153120
∴ Least Common Multiple of 455,924,736,828 is 33153120
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 455, 924, 736, 828?
Answer: LCM of 455, 924, 736, 828 is 33153120.
2. What are the Factors of 33153120?
Answer: Factors of 33153120 are . There are integers that are factors of 33153120
3. How to Find the LCM of 455, 924, 736, 828 ?
Least Common Multiple of 455, 924, 736, 828.
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(455, 924, 736, 828) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 23 = 33153120.