LCM of 671, 680, 913, 363, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 680, 913, 363, 432 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 671, 680, 913, 363, 432. So, keep reading to learn more.
Given numbers are 671,680,913,363,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,680,913,363,432 is 22495516560.
Find LCM of 671,680,913,363,432 with Prime Factorization
| 2 | 671, 680, 913, 363, 432 |
| 2 | 671, 340, 913, 363, 216 |
| 2 | 671, 170, 913, 363, 108 |
| 3 | 671, 85, 913, 363, 54 |
| 11 | 671, 85, 913, 121, 18 |
| 61, 85, 83, 11, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 61 x 85 x 83 x 11 x 18 = 22495516560
Therefore, the lowest common multiple of 671,680,913,363,432 is 22495516560.
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.
671 x 680 x 913 x 363 x 432 = 65326980090240
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.
671 : 1, 11, 61, 671
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
913 : 1, 11, 83, 913
363 : 1, 3, 11, 33, 121, 363
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,680,913,363,432, is 1.
Now, the common factors can be found like this.
671:11x 61
680:2x 2x 2x 5x 17
913:11x 83
363:3x 11x 11
432:2x 2x 2x 2x 3x 3x 3
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 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 65326980090240/(1x2904)
LCM = 65326980090240/2904
LCM = 22495516560
Thus, we can understand that the LCM of 671,680,913,363,432 is 22495516560.
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FAQs on LCM of 671, 680, 913, 363, 432
1. What is the LCM of 671, 680, 913, 363, 432?
Answer: LCM of 671, 680, 913, 363, 432 is 22495516560.
2. How to calculate the LCM of 671, 680, 913, 363, 432?
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 671, 680, 913, 363, 432.
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}.