LCM of 260, 864, 438, 963, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 864, 438, 963, 971 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 260, 864, 438, 963, 971. So, keep reading to learn more.
Given numbers are 260,864,438,963,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,864,438,963,971 is 425944452960.
Find LCM of 260,864,438,963,971 with Prime Factorization
| 2 | 260, 864, 438, 963, 971 |
| 2 | 130, 432, 219, 963, 971 |
| 3 | 65, 216, 219, 963, 971 |
| 3 | 65, 72, 73, 321, 971 |
| 65, 24, 73, 107, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 65 x 24 x 73 x 107 x 971 = 425944452960
Therefore, the lowest common multiple of 260,864,438,963,971 is 425944452960.
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.
260 x 864 x 438 x 963 x 971 = 92004001839360
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
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
438 : 1, 2, 3, 6, 73, 146, 219, 438
963 : 1, 3, 9, 107, 321, 963
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,864,438,963,971, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
864:2x 2x 2x 2x 2x 3x 3x 3
438:2x 3x 73
963:3x 3x 107
971:971
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 3 = 216
Therefore, the value for common factors is 216.
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 = 92004001839360/(1x216)
LCM = 92004001839360/216
LCM = 425944452960
Thus, we can understand that the LCM of 260,864,438,963,971 is 425944452960.
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FAQs on LCM of 260, 864, 438, 963, 971
1. What is the LCM of 260, 864, 438, 963, 971?
Answer: LCM of 260, 864, 438, 963, 971 is 425944452960.
2. How to calculate the LCM of 260, 864, 438, 963, 971?
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 260, 864, 438, 963, 971.
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}.