LCM of 331, 715, 864, 780, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 331, 715, 864, 780, 956 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 331, 715, 864, 780, 956. So, keep reading to learn more.
Given numbers are 331,715,864,780,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,715,864,780,956 is 48870375840.
Find LCM of 331,715,864,780,956 with Prime Factorization
| 2 | 331, 715, 864, 780, 956 |
| 2 | 331, 715, 432, 390, 478 |
| 3 | 331, 715, 216, 195, 239 |
| 5 | 331, 715, 72, 65, 239 |
| 13 | 331, 143, 72, 13, 239 |
| 331, 11, 72, 1, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 331 x 11 x 72 x 1 x 239 = 48870375840
Therefore, the lowest common multiple of 331,715,864,780,956 is 48870375840.
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.
331 x 715 x 864 x 780 x 956 = 152475572620800
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.
331 : 1, 331
715 : 1, 5, 11, 13, 55, 65, 143, 715
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,715,864,780,956, is 1.
Now, the common factors can be found like this.
331:331
715:5x 11x 13
864:2x 2x 2x 2x 2x 3x 3x 3
780:2x 2x 3x 5x 13
956:2x 2x 239
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 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 152475572620800/(1x3120)
LCM = 152475572620800/3120
LCM = 48870375840
Thus, we can understand that the LCM of 331,715,864,780,956 is 48870375840.
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FAQs on LCM of 331, 715, 864, 780, 956
1. What is the LCM of 331, 715, 864, 780, 956?
Answer: LCM of 331, 715, 864, 780, 956 is 48870375840.
2. How to calculate the LCM of 331, 715, 864, 780, 956?
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 331, 715, 864, 780, 956.
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}.