LCM of 961, 576, 806, 711, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 576, 806, 711, 372 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 961, 576, 806, 711, 372. So, keep reading to learn more.
Given numbers are 961,576,806,711,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,576,806,711,372 is 568481472.
Find LCM of 961,576,806,711,372 with Prime Factorization
| 2 | 961, 576, 806, 711, 372 |
| 2 | 961, 288, 403, 711, 186 |
| 3 | 961, 144, 403, 711, 93 |
| 3 | 961, 48, 403, 237, 31 |
| 31 | 961, 16, 403, 79, 31 |
| 1, 16, 13, 79, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 31 x 1 x 16 x 13 x 79 x 31 = 568481472
Therefore, the lowest common multiple of 961,576,806,711,372 is 568481472.
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.
961 x 576 x 806 x 711 x 372 = 118003110031872
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.
961 : 1, 31, 961
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
806 : 1, 2, 13, 26, 31, 62, 403, 806
711 : 1, 3, 9, 79, 237, 711
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,576,806,711,372, is 1.
Now, the common factors can be found like this.
961:31x 31
576:2x 2x 2x 2x 2x 2x 3x 3
806:2x 13x 31
711:3x 3x 79
372:2x 2x 3x 31
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 3x 3x 31x 31 = 207576
Therefore, the value for common factors is 207576.
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 = 118003110031872/(1x207576)
LCM = 118003110031872/207576
LCM = 568481472
Thus, we can understand that the LCM of 961,576,806,711,372 is 568481472.
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FAQs on LCM of 961, 576, 806, 711, 372
1. What is the LCM of 961, 576, 806, 711, 372?
Answer: LCM of 961, 576, 806, 711, 372 is 568481472.
2. How to calculate the LCM of 961, 576, 806, 711, 372?
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 961, 576, 806, 711, 372.
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}.