LCM of 172, 580, 817, 219, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 172, 580, 817, 219, 700 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 172, 580, 817, 219, 700. So, keep reading to learn more.
Given numbers are 172,580,817,219,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 172,580,817,219,700 is 3632136900.
Find LCM of 172,580,817,219,700 with Prime Factorization
| 2 | 172, 580, 817, 219, 700 |
| 2 | 86, 290, 817, 219, 350 |
| 5 | 43, 145, 817, 219, 175 |
| 43 | 43, 29, 817, 219, 35 |
| 1, 29, 19, 219, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 1 x 29 x 19 x 219 x 35 = 3632136900
Therefore, the lowest common multiple of 172,580,817,219,700 is 3632136900.
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.
172 x 580 x 817 x 219 x 700 = 12494550936000
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.
172 : 1, 2, 4, 43, 86, 172
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
817 : 1, 19, 43, 817
219 : 1, 3, 73, 219
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,580,817,219,700, is 1.
Now, the common factors can be found like this.
172:2x 2x 43
580:2x 2x 5x 29
817:19x 43
219:3x 73
700:2x 2x 5x 5x 7
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 5x 43 = 3440
Therefore, the value for common factors is 3440.
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 = 12494550936000/(1x3440)
LCM = 12494550936000/3440
LCM = 3632136900
Thus, we can understand that the LCM of 172,580,817,219,700 is 3632136900.
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FAQs on LCM of 172, 580, 817, 219, 700
1. What is the LCM of 172, 580, 817, 219, 700?
Answer: LCM of 172, 580, 817, 219, 700 is 3632136900.
2. How to calculate the LCM of 172, 580, 817, 219, 700?
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 172, 580, 817, 219, 700.
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}.