Find the LCM of 440, 209, 423, 301 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 440, 209, 423, 301. So, keep reading to learn more.
Given numbers are 440,209,423,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,209,423,301 is 1064420280.
Find LCM of 440,209,423,301 with Prime Factorization
11 | 440, 209, 423, 301 |
40, 19, 423, 301 |
Multiply the prime numbers at the bottom and the left side.
11 x 40 x 19 x 423 x 301 = 1064420280
Therefore, the lowest common multiple of 440,209,423,301 is 1064420280.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
440 x 209 x 423 x 301 = 11708623080
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
209 : 1, 11, 19, 209
423 : 1, 3, 9, 47, 141, 423
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,209,423,301, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
209:11x 19
423:3x 3x 47
301:7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 11708623080/(1x11)
LCM = 11708623080/11
LCM = 1064420280
Thus, we can understand that the LCM of 440,209,423,301 is 1064420280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 440, 209, 423, 301?
Answer: LCM of 440, 209, 423, 301 is 1064420280.
2. How to calculate the LCM of 440, 209, 423, 301?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 440, 209, 423, 301.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.