Find the LCM of 630, 221, 731, 480, 901 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 630, 221, 731, 480, 901. So, keep reading to learn more.
Given numbers are 630,221,731,480,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,221,731,480,901 is 5076882720.
Find LCM of 630,221,731,480,901 with Prime Factorization
2 | 630, 221, 731, 480, 901 |
3 | 315, 221, 731, 240, 901 |
5 | 105, 221, 731, 80, 901 |
17 | 21, 221, 731, 16, 901 |
21, 13, 43, 16, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 21 x 13 x 43 x 16 x 53 = 5076882720
Therefore, the lowest common multiple of 630,221,731,480,901 is 5076882720.
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.
630 x 221 x 731 x 480 x 901 = 44016573182400
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
221 : 1, 13, 17, 221
731 : 1, 17, 43, 731
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,221,731,480,901, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
221:13x 17
731:17x 43
480:2x 2x 2x 2x 2x 3x 5
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 17x 17 = 8670
Therefore, the value for common factors is 8670.
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 = 44016573182400/(1x8670)
LCM = 44016573182400/8670
LCM = 5076882720
Thus, we can understand that the LCM of 630,221,731,480,901 is 5076882720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 221, 731, 480, 901?
Answer: LCM of 630, 221, 731, 480, 901 is 5076882720.
2. How to calculate the LCM of 630, 221, 731, 480, 901?
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 630, 221, 731, 480, 901.
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}.