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 130, 280, 448 i.e. 29120 smallest integer divisible by all numbers.
Least common multiple (LCM) of 130, 280, 448 is 29120.
LCM(130, 280, 448) = 29120
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 130, 280, 448 |
2 | 65, 140, 224 |
2 | 65, 70, 112 |
5 | 65, 35, 56 |
7 | 13, 7, 56 |
13, 1, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 13 x 1 x 8 = 29120
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 130,280,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,280,448) = 2
common factors(in case of two or more numbers have common factors) = 280
GCF(130,280,448) x common factors =2 x 280 = 560
LCM(130,280,448) = ( 130 × 280 × 448 ) / 560
LCM(130,280,448) = 16307200 / 560
LCM(130,280,448) = 29120
∴ Least Common Multiple of 130,280,448 is 29120
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 130, 280, 448?
Answer: LCM of 130, 280, 448 is 29120.
2. What are the Factors of 29120?
Answer: Factors of 29120 are . There are integers that are factors of 29120
3. How to Find the LCM of 130, 280, 448 ?
Least Common Multiple of 130, 280, 448.
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(130, 280, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 13 = 29120.