LCM of 581, 136, 715, 572, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 581, 136, 715, 572, 128 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 581, 136, 715, 572, 128. So, keep reading to learn more.
Given numbers are 581,136,715,572,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 581,136,715,572,128 is 903943040.
Find LCM of 581,136,715,572,128 with Prime Factorization
| 2 | 581, 136, 715, 572, 128 |
| 2 | 581, 68, 715, 286, 64 |
| 2 | 581, 34, 715, 143, 32 |
| 11 | 581, 17, 715, 143, 16 |
| 13 | 581, 17, 65, 13, 16 |
| 581, 17, 5, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 13 x 581 x 17 x 5 x 1 x 16 = 903943040
Therefore, the lowest common multiple of 581,136,715,572,128 is 903943040.
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.
581 x 136 x 715 x 572 x 128 = 4136443351040
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.
581 : 1, 7, 83, 581
136 : 1, 2, 4, 8, 17, 34, 68, 136
715 : 1, 5, 11, 13, 55, 65, 143, 715
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,136,715,572,128, is 1.
Now, the common factors can be found like this.
581:7x 83
136:2x 2x 2x 17
715:5x 11x 13
572:2x 2x 11x 13
128:2x 2x 2x 2x 2x 2x 2
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 11x 13 = 4576
Therefore, the value for common factors is 4576.
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 = 4136443351040/(1x4576)
LCM = 4136443351040/4576
LCM = 903943040
Thus, we can understand that the LCM of 581,136,715,572,128 is 903943040.
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FAQs on LCM of 581, 136, 715, 572, 128
1. What is the LCM of 581, 136, 715, 572, 128?
Answer: LCM of 581, 136, 715, 572, 128 is 903943040.
2. How to calculate the LCM of 581, 136, 715, 572, 128?
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 581, 136, 715, 572, 128.
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}.