LCM of 287, 748, 583, 649, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 748, 583, 649, 432 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 287, 748, 583, 649, 432. So, keep reading to learn more.
Given numbers are 287,748,583,649,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,748,583,649,432 is 72499520016.
Find LCM of 287,748,583,649,432 with Prime Factorization
| 2 | 287, 748, 583, 649, 432 |
| 2 | 287, 374, 583, 649, 216 |
| 11 | 287, 187, 583, 649, 108 |
| 287, 17, 53, 59, 108 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 287 x 17 x 53 x 59 x 108 = 72499520016
Therefore, the lowest common multiple of 287,748,583,649,432 is 72499520016.
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.
287 x 748 x 583 x 649 x 432 = 35089767687744
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.
287 : 1, 7, 41, 287
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
583 : 1, 11, 53, 583
649 : 1, 11, 59, 649
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,748,583,649,432, is 1.
Now, the common factors can be found like this.
287:7x 41
748:2x 2x 11x 17
583:11x 53
649:11x 59
432:2x 2x 2x 2x 3x 3x 3
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 35089767687744/(1x484)
LCM = 35089767687744/484
LCM = 72499520016
Thus, we can understand that the LCM of 287,748,583,649,432 is 72499520016.
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FAQs on LCM of 287, 748, 583, 649, 432
1. What is the LCM of 287, 748, 583, 649, 432?
Answer: LCM of 287, 748, 583, 649, 432 is 72499520016.
2. How to calculate the LCM of 287, 748, 583, 649, 432?
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 287, 748, 583, 649, 432.
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}.