Find the LCM of 288, 779, 572, 408 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 288, 779, 572, 408. So, keep reading to learn more.
Given numbers are 288,779,572,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,779,572,408 is 545399712.
Find LCM of 288,779,572,408 with Prime Factorization
2 | 288, 779, 572, 408 |
2 | 144, 779, 286, 204 |
2 | 72, 779, 143, 102 |
3 | 36, 779, 143, 51 |
12, 779, 143, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 12 x 779 x 143 x 17 = 545399712
Therefore, the lowest common multiple of 288,779,572,408 is 545399712.
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.
288 x 779 x 572 x 408 = 52358372352
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
779 : 1, 19, 41, 779
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,779,572,408, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
779:19x 41
572:2x 2x 11x 13
408:2x 2x 2x 3x 17
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 3 = 96
Therefore, the value for common factors is 96.
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 = 52358372352/(1x96)
LCM = 52358372352/96
LCM = 545399712
Thus, we can understand that the LCM of 288,779,572,408 is 545399712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 779, 572, 408?
Answer: LCM of 288, 779, 572, 408 is 545399712.
2. How to calculate the LCM of 288, 779, 572, 408?
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 288, 779, 572, 408.
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}.