LCM of 726, 112, 972, 908, 808
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 112, 972, 908, 808 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 726, 112, 972, 908, 808. So, keep reading to learn more.
Given numbers are 726,112,972,908,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,112,972,908,808 is 75501729072.
Find LCM of 726,112,972,908,808 with Prime Factorization
| 2 | 726, 112, 972, 908, 808 |
| 2 | 363, 56, 486, 454, 404 |
| 2 | 363, 28, 243, 227, 202 |
| 3 | 363, 14, 243, 227, 101 |
| 121, 14, 81, 227, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 121 x 14 x 81 x 227 x 101 = 75501729072
Therefore, the lowest common multiple of 726,112,972,908,808 is 75501729072.
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.
726 x 112 x 972 x 908 x 808 = 57985327927296
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
908 : 1, 2, 4, 227, 454, 908
808 : 1, 2, 4, 8, 101, 202, 404, 808
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,112,972,908,808, is 2.
Now, the common factors can be found like this.
726:2x 3x 11x 11
112:2x 2x 2x 2x 7
972:2x 2x 3x 3x 3x 3x 3
908:2x 2x 227
808:2x 2x 2x 101
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 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 57985327927296/(2x384)
LCM = 57985327927296/768
LCM = 75501729072
Thus, we can understand that the LCM of 726,112,972,908,808 is 75501729072.
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FAQs on LCM of 726, 112, 972, 908, 808
1. What is the LCM of 726, 112, 972, 908, 808?
Answer: LCM of 726, 112, 972, 908, 808 is 75501729072.
2. How to calculate the LCM of 726, 112, 972, 908, 808?
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 726, 112, 972, 908, 808.
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}.