LCM of 583, 143, 714, 876, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 143, 714, 876, 637 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 583, 143, 714, 876, 637. So, keep reading to learn more.
Given numbers are 583,143,714,876,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,143,714,876,637 is 5530456932.
Find LCM of 583,143,714,876,637 with Prime Factorization
| 2 | 583, 143, 714, 876, 637 |
| 3 | 583, 143, 357, 438, 637 |
| 7 | 583, 143, 119, 146, 637 |
| 11 | 583, 143, 17, 146, 91 |
| 13 | 53, 13, 17, 146, 91 |
| 53, 1, 17, 146, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 53 x 1 x 17 x 146 x 7 = 5530456932
Therefore, the lowest common multiple of 583,143,714,876,637 is 5530456932.
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.
583 x 143 x 714 x 876 x 637 = 33215924333592
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.
583 : 1, 11, 53, 583
143 : 1, 11, 13, 143
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,143,714,876,637, is 1.
Now, the common factors can be found like this.
583:11x 53
143:11x 13
714:2x 3x 7x 17
876:2x 2x 3x 73
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11x 13 = 6006
Therefore, the value for common factors is 6006.
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 = 33215924333592/(1x6006)
LCM = 33215924333592/6006
LCM = 5530456932
Thus, we can understand that the LCM of 583,143,714,876,637 is 5530456932.
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FAQs on LCM of 583, 143, 714, 876, 637
1. What is the LCM of 583, 143, 714, 876, 637?
Answer: LCM of 583, 143, 714, 876, 637 is 5530456932.
2. How to calculate the LCM of 583, 143, 714, 876, 637?
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 583, 143, 714, 876, 637.
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}.