LCM of 217, 920, 403, 772, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 920, 403, 772, 644 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 217, 920, 403, 772, 644. So, keep reading to learn more.
Given numbers are 217,920,403,772,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,920,403,772,644 is 500896760.
Find LCM of 217,920,403,772,644 with Prime Factorization
| 2 | 217, 920, 403, 772, 644 |
| 2 | 217, 460, 403, 386, 322 |
| 7 | 217, 230, 403, 193, 161 |
| 23 | 31, 230, 403, 193, 23 |
| 31 | 31, 10, 403, 193, 1 |
| 1, 10, 13, 193, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 31 x 1 x 10 x 13 x 193 x 1 = 500896760
Therefore, the lowest common multiple of 217,920,403,772,644 is 500896760.
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.
217 x 920 x 403 x 772 x 644 = 39999611666560
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.
217 : 1, 7, 31, 217
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
403 : 1, 13, 31, 403
772 : 1, 2, 4, 193, 386, 772
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,920,403,772,644, is 1.
Now, the common factors can be found like this.
217:7x 31
920:2x 2x 2x 5x 23
403:13x 31
772:2x 2x 193
644:2x 2x 7x 23
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 7x 23x 31 = 79856
Therefore, the value for common factors is 79856.
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 = 39999611666560/(1x79856)
LCM = 39999611666560/79856
LCM = 500896760
Thus, we can understand that the LCM of 217,920,403,772,644 is 500896760.
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FAQs on LCM of 217, 920, 403, 772, 644
1. What is the LCM of 217, 920, 403, 772, 644?
Answer: LCM of 217, 920, 403, 772, 644 is 500896760.
2. How to calculate the LCM of 217, 920, 403, 772, 644?
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 217, 920, 403, 772, 644.
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}.