Find the LCM of 921, 432, 416, 788 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 921, 432, 416, 788. So, keep reading to learn more.
Given numbers are 921,432,416,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,432,416,788 is 679300128.
Find LCM of 921,432,416,788 with Prime Factorization
2 | 921, 432, 416, 788 |
2 | 921, 216, 208, 394 |
2 | 921, 108, 104, 197 |
2 | 921, 54, 52, 197 |
3 | 921, 27, 26, 197 |
307, 9, 26, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 307 x 9 x 26 x 197 = 679300128
Therefore, the lowest common multiple of 921,432,416,788 is 679300128.
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.
921 x 432 x 416 x 788 = 130425624576
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.
921 : 1, 3, 307, 921
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,432,416,788, is 1.
Now, the common factors can be found like this.
921:3x 307
432:2x 2x 2x 2x 3x 3x 3
416:2x 2x 2x 2x 2x 13
788:2x 2x 197
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 3 = 192
Therefore, the value for common factors is 192.
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 = 130425624576/(1x192)
LCM = 130425624576/192
LCM = 679300128
Thus, we can understand that the LCM of 921,432,416,788 is 679300128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 921, 432, 416, 788?
Answer: LCM of 921, 432, 416, 788 is 679300128.
2. How to calculate the LCM of 921, 432, 416, 788?
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 921, 432, 416, 788.
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}.