LCM of 621, 366, 432, 748, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 366, 432, 748, 728 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 621, 366, 432, 748, 728. So, keep reading to learn more.
Given numbers are 621,366,432,748,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,366,432,748,728 is 10313935632.
Find LCM of 621,366,432,748,728 with Prime Factorization
| 2 | 621, 366, 432, 748, 728 |
| 2 | 621, 183, 216, 374, 364 |
| 2 | 621, 183, 108, 187, 182 |
| 3 | 621, 183, 54, 187, 91 |
| 3 | 207, 61, 18, 187, 91 |
| 3 | 69, 61, 6, 187, 91 |
| 23, 61, 2, 187, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 23 x 61 x 2 x 187 x 91 = 10313935632
Therefore, the lowest common multiple of 621,366,432,748,728 is 10313935632.
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.
621 x 366 x 432 x 748 x 728 = 53467442316288
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
366 : 1, 2, 3, 6, 61, 122, 183, 366
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,366,432,748,728, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
366:2x 3x 61
432:2x 2x 2x 2x 3x 3x 3
748:2x 2x 11x 17
728:2x 2x 2x 7x 13
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 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 53467442316288/(1x5184)
LCM = 53467442316288/5184
LCM = 10313935632
Thus, we can understand that the LCM of 621,366,432,748,728 is 10313935632.
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FAQs on LCM of 621, 366, 432, 748, 728
1. What is the LCM of 621, 366, 432, 748, 728?
Answer: LCM of 621, 366, 432, 748, 728 is 10313935632.
2. How to calculate the LCM of 621, 366, 432, 748, 728?
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 621, 366, 432, 748, 728.
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}.