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 448, 112, 54 i.e. 12096 smallest integer divisible by all numbers.
Least common multiple (LCM) of 448, 112, 54 is 12096.
LCM(448, 112, 54) = 12096
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 448, 112, 54 |
2 | 224, 56, 27 |
2 | 112, 28, 27 |
2 | 56, 14, 27 |
7 | 28, 7, 27 |
4, 1, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 4 x 1 x 27 = 12096
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 448,112,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,112,54) = 2
common factors(in case of two or more numbers have common factors) = 112
GCF(448,112,54) x common factors =2 x 112 = 224
LCM(448,112,54) = ( 448 × 112 × 54 ) / 224
LCM(448,112,54) = 2709504 / 224
LCM(448,112,54) = 12096
∴ Least Common Multiple of 448,112,54 is 12096
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 448, 112, 54?
Answer: LCM of 448, 112, 54 is 12096.
2. What are the Factors of 12096?
Answer: Factors of 12096 are . There are integers that are factors of 12096
3. How to Find the LCM of 448, 112, 54 ?
Least Common Multiple of 448, 112, 54.
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(448, 112, 54) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 = 12096.