LCM of 631, 832, 799, 728, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 631, 832, 799, 728, 748 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 631, 832, 799, 728, 748. So, keep reading to learn more.
Given numbers are 631,832,799,728,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,832,799,728,748 is 32299082816.
Find LCM of 631,832,799,728,748 with Prime Factorization
| 2 | 631, 832, 799, 728, 748 |
| 2 | 631, 416, 799, 364, 374 |
| 2 | 631, 208, 799, 182, 187 |
| 13 | 631, 104, 799, 91, 187 |
| 17 | 631, 8, 799, 7, 187 |
| 631, 8, 47, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 17 x 631 x 8 x 47 x 7 x 11 = 32299082816
Therefore, the lowest common multiple of 631,832,799,728,748 is 32299082816.
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.
631 x 832 x 799 x 728 x 748 = 228419113674752
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.
631 : 1, 631
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
799 : 1, 17, 47, 799
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,832,799,728,748, is 1.
Now, the common factors can be found like this.
631:631
832:2x 2x 2x 2x 2x 2x 13
799:17x 47
728:2x 2x 2x 7x 13
748:2x 2x 11x 17
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 13x 17 = 7072
Therefore, the value for common factors is 7072.
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 = 228419113674752/(1x7072)
LCM = 228419113674752/7072
LCM = 32299082816
Thus, we can understand that the LCM of 631,832,799,728,748 is 32299082816.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 631, 832, 799, 728, 748
1. What is the LCM of 631, 832, 799, 728, 748?
Answer: LCM of 631, 832, 799, 728, 748 is 32299082816.
2. How to calculate the LCM of 631, 832, 799, 728, 748?
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 631, 832, 799, 728, 748.
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}.