LCM of 501, 572, 287, 221, 595
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 572, 287, 221, 595 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 501, 572, 287, 221, 595. So, keep reading to learn more.
Given numbers are 501,572,287,221,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,572,287,221,595 is 6990923940.
Find LCM of 501,572,287,221,595 with Prime Factorization
| 7 | 501, 572, 287, 221, 595 |
| 13 | 501, 572, 41, 221, 85 |
| 17 | 501, 44, 41, 17, 85 |
| 501, 44, 41, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 17 x 501 x 44 x 41 x 1 x 5 = 6990923940
Therefore, the lowest common multiple of 501,572,287,221,595 is 6990923940.
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.
501 x 572 x 287 x 221 x 595 = 10814959335180
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.
501 : 1, 3, 167, 501
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
287 : 1, 7, 41, 287
221 : 1, 13, 17, 221
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,572,287,221,595, is 1.
Now, the common factors can be found like this.
501:3x 167
572:2x 2x 11x 13
287:7x 41
221:13x 17
595:5x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13x 17 = 1547
Therefore, the value for common factors is 1547.
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 = 10814959335180/(1x1547)
LCM = 10814959335180/1547
LCM = 6990923940
Thus, we can understand that the LCM of 501,572,287,221,595 is 6990923940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 501, 572, 287, 221, 595
1. What is the LCM of 501, 572, 287, 221, 595?
Answer: LCM of 501, 572, 287, 221, 595 is 6990923940.
2. How to calculate the LCM of 501, 572, 287, 221, 595?
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 501, 572, 287, 221, 595.
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}.