LCM of 721, 906, 912, 344, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 906, 912, 344, 972 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 721, 906, 912, 344, 972. So, keep reading to learn more.
Given numbers are 721,906,912,344,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,906,912,344,972 is 345828296016.
Find LCM of 721,906,912,344,972 with Prime Factorization
| 2 | 721, 906, 912, 344, 972 |
| 2 | 721, 453, 456, 172, 486 |
| 2 | 721, 453, 228, 86, 243 |
| 3 | 721, 453, 114, 43, 243 |
| 721, 151, 38, 43, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 721 x 151 x 38 x 43 x 81 = 345828296016
Therefore, the lowest common multiple of 721,906,912,344,972 is 345828296016.
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.
721 x 906 x 912 x 344 x 972 = 199197098505216
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.
721 : 1, 7, 103, 721
906 : 1, 2, 3, 6, 151, 302, 453, 906
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
344 : 1, 2, 4, 8, 43, 86, 172, 344
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,906,912,344,972, is 1.
Now, the common factors can be found like this.
721:7x 103
906:2x 3x 151
912:2x 2x 2x 2x 3x 19
344:2x 2x 2x 43
972:2x 2x 3x 3x 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 2x 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 199197098505216/(1x576)
LCM = 199197098505216/576
LCM = 345828296016
Thus, we can understand that the LCM of 721,906,912,344,972 is 345828296016.
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FAQs on LCM of 721, 906, 912, 344, 972
1. What is the LCM of 721, 906, 912, 344, 972?
Answer: LCM of 721, 906, 912, 344, 972 is 345828296016.
2. How to calculate the LCM of 721, 906, 912, 344, 972?
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 721, 906, 912, 344, 972.
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}.