LCM of 596, 633, 793, 915, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 633, 793, 915, 507 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 596, 633, 793, 915, 507. So, keep reading to learn more.
Given numbers are 596,633,793,915,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,633,793,915,507 is 19446279060.
Find LCM of 596,633,793,915,507 with Prime Factorization
| 3 | 596, 633, 793, 915, 507 |
| 13 | 596, 211, 793, 305, 169 |
| 61 | 596, 211, 61, 305, 13 |
| 596, 211, 1, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 61 x 596 x 211 x 1 x 5 x 13 = 19446279060
Therefore, the lowest common multiple of 596,633,793,915,507 is 19446279060.
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.
596 x 633 x 793 x 915 x 507 = 138788093651220
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.
596 : 1, 2, 4, 149, 298, 596
633 : 1, 3, 211, 633
793 : 1, 13, 61, 793
915 : 1, 3, 5, 15, 61, 183, 305, 915
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,633,793,915,507, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
633:3x 211
793:13x 61
915:3x 5x 61
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 61 = 7137
Therefore, the value for common factors is 7137.
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 = 138788093651220/(1x7137)
LCM = 138788093651220/7137
LCM = 19446279060
Thus, we can understand that the LCM of 596,633,793,915,507 is 19446279060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 596, 633, 793, 915, 507
1. What is the LCM of 596, 633, 793, 915, 507?
Answer: LCM of 596, 633, 793, 915, 507 is 19446279060.
2. How to calculate the LCM of 596, 633, 793, 915, 507?
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 596, 633, 793, 915, 507.
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}.