Find the LCM of 630, 448, 410, 768 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, 448, 410, 768. So, keep reading to learn more.
Given numbers are 630,448,410,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,448,410,768 is 3306240.
Find LCM of 630,448,410,768 with Prime Factorization
2 | 630, 448, 410, 768 |
2 | 315, 224, 205, 384 |
2 | 315, 112, 205, 192 |
2 | 315, 56, 205, 96 |
2 | 315, 28, 205, 48 |
2 | 315, 14, 205, 24 |
3 | 315, 7, 205, 12 |
5 | 105, 7, 205, 4 |
7 | 21, 7, 41, 4 |
3, 1, 41, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 3 x 1 x 41 x 4 = 3306240
Therefore, the lowest common multiple of 630,448,410,768 is 3306240.
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 448 x 410 x 768 = 88871731200
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
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
410 : 1, 2, 5, 10, 41, 82, 205, 410
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,448,410,768, is 2.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
448:2x 2x 2x 2x 2x 2x 7
410:2x 5x 41
768:2x 2x 2x 2x 2x 2x 2x 2x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 3x 5x 7 = 13440
Therefore, the value for common factors is 13440.
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 = 88871731200/(2x13440)
LCM = 88871731200/26880
LCM = 3306240
Thus, we can understand that the LCM of 630,448,410,768 is 3306240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 448, 410, 768?
Answer: LCM of 630, 448, 410, 768 is 3306240.
2. How to calculate the LCM of 630, 448, 410, 768?
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, 448, 410, 768.
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}.