LCM of 577, 700, 725, 616, 581
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 700, 725, 616, 581 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 577, 700, 725, 616, 581. So, keep reading to learn more.
Given numbers are 577,700,725,616,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,700,725,616,581 is 21388120600.
Find LCM of 577,700,725,616,581 with Prime Factorization
| 2 | 577, 700, 725, 616, 581 |
| 2 | 577, 350, 725, 308, 581 |
| 5 | 577, 175, 725, 154, 581 |
| 5 | 577, 35, 145, 154, 581 |
| 7 | 577, 7, 29, 154, 581 |
| 577, 1, 29, 22, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 7 x 577 x 1 x 29 x 22 x 83 = 21388120600
Therefore, the lowest common multiple of 577,700,725,616,581 is 21388120600.
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.
577 x 700 x 725 x 616 x 581 = 104801790940000
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.
577 : 1, 577
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
725 : 1, 5, 25, 29, 145, 725
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,700,725,616,581, is 1.
Now, the common factors can be found like this.
577:577
700:2x 2x 5x 5x 7
725:5x 5x 29
616:2x 2x 2x 7x 11
581:7x 83
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 5x 5x 7x 7 = 4900
Therefore, the value for common factors is 4900.
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 = 104801790940000/(1x4900)
LCM = 104801790940000/4900
LCM = 21388120600
Thus, we can understand that the LCM of 577,700,725,616,581 is 21388120600.
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FAQs on LCM of 577, 700, 725, 616, 581
1. What is the LCM of 577, 700, 725, 616, 581?
Answer: LCM of 577, 700, 725, 616, 581 is 21388120600.
2. How to calculate the LCM of 577, 700, 725, 616, 581?
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 577, 700, 725, 616, 581.
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}.