LCM of 976, 968, 475, 325, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 968, 475, 325, 864 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 976, 968, 475, 325, 864. So, keep reading to learn more.
Given numbers are 976,968,475,325,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,968,475,325,864 is 39379111200.
Find LCM of 976,968,475,325,864 with Prime Factorization
| 2 | 976, 968, 475, 325, 864 |
| 2 | 488, 484, 475, 325, 432 |
| 2 | 244, 242, 475, 325, 216 |
| 2 | 122, 121, 475, 325, 108 |
| 5 | 61, 121, 475, 325, 54 |
| 5 | 61, 121, 95, 65, 54 |
| 61, 121, 19, 13, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 5 x 61 x 121 x 19 x 13 x 54 = 39379111200
Therefore, the lowest common multiple of 976,968,475,325,864 is 39379111200.
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.
976 x 968 x 475 x 325 x 864 = 126013155840000
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
475 : 1, 5, 19, 25, 95, 475
325 : 1, 5, 13, 25, 65, 325
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,968,475,325,864, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
968:2x 2x 2x 11x 11
475:5x 5x 19
325:5x 5x 13
864:2x 2x 2x 2x 2x 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 2x 5x 5 = 3200
Therefore, the value for common factors is 3200.
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 = 126013155840000/(1x3200)
LCM = 126013155840000/3200
LCM = 39379111200
Thus, we can understand that the LCM of 976,968,475,325,864 is 39379111200.
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FAQs on LCM of 976, 968, 475, 325, 864
1. What is the LCM of 976, 968, 475, 325, 864?
Answer: LCM of 976, 968, 475, 325, 864 is 39379111200.
2. How to calculate the LCM of 976, 968, 475, 325, 864?
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 976, 968, 475, 325, 864.
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}.