LCM of 560, 468, 886, 464, 573
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 468, 886, 464, 573 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 560, 468, 886, 464, 573. So, keep reading to learn more.
Given numbers are 560,468,886,464,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,468,886,464,573 is 160771469040.
Find LCM of 560,468,886,464,573 with Prime Factorization
| 2 | 560, 468, 886, 464, 573 |
| 2 | 280, 234, 443, 232, 573 |
| 2 | 140, 117, 443, 116, 573 |
| 2 | 70, 117, 443, 58, 573 |
| 3 | 35, 117, 443, 29, 573 |
| 35, 39, 443, 29, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 35 x 39 x 443 x 29 x 191 = 160771469040
Therefore, the lowest common multiple of 560,468,886,464,573 is 160771469040.
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.
560 x 468 x 886 x 464 x 573 = 61736244111360
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
886 : 1, 2, 443, 886
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,468,886,464,573, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
468:2x 2x 3x 3x 13
886:2x 443
464:2x 2x 2x 2x 29
573:3x 191
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 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 61736244111360/(1x384)
LCM = 61736244111360/384
LCM = 160771469040
Thus, we can understand that the LCM of 560,468,886,464,573 is 160771469040.
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FAQs on LCM of 560, 468, 886, 464, 573
1. What is the LCM of 560, 468, 886, 464, 573?
Answer: LCM of 560, 468, 886, 464, 573 is 160771469040.
2. How to calculate the LCM of 560, 468, 886, 464, 573?
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 560, 468, 886, 464, 573.
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}.