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 424, 636, 448 i.e. 71232 smallest integer divisible by all numbers.
Least common multiple (LCM) of 424, 636, 448 is 71232.
LCM(424, 636, 448) = 71232
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 424, 636, 448 |
2 | 212, 318, 224 |
2 | 106, 159, 112 |
53 | 53, 159, 56 |
1, 3, 56 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 1 x 3 x 56 = 71232
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 424,636,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,636,448) = 4
common factors(in case of two or more numbers have common factors) = 424
GCF(424,636,448) x common factors =4 x 424 = 1696
LCM(424,636,448) = ( 424 × 636 × 448 ) / 1696
LCM(424,636,448) = 120809472 / 1696
LCM(424,636,448) = 71232
∴ Least Common Multiple of 424,636,448 is 71232
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 424, 636, 448?
Answer: LCM of 424, 636, 448 is 71232.
2. What are the Factors of 71232?
Answer: Factors of 71232 are . There are integers that are factors of 71232
3. How to Find the LCM of 424, 636, 448 ?
Least Common Multiple of 424, 636, 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(424, 636, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 53 = 71232.