LCM of 864, 343, 947, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 864, 343, 947, 736 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 864, 343, 947, 736. So, keep reading to learn more.
Given numbers are 864,343,947,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,343,947,736 is 6454842912.
Find LCM of 864,343,947,736 with Prime Factorization
| 2 | 864, 343, 947, 736 |
| 2 | 432, 343, 947, 368 |
| 2 | 216, 343, 947, 184 |
| 2 | 108, 343, 947, 92 |
| 2 | 54, 343, 947, 46 |
| 27, 343, 947, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 27 x 343 x 947 x 23 = 6454842912
Therefore, the lowest common multiple of 864,343,947,736 is 6454842912.
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.
864 x 343 x 947 x 736 = 206554973184
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.
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
343 : 1, 7, 49, 343
947 : 1, 947
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,343,947,736, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
343:7x 7x 7
947:947
736:2x 2x 2x 2x 2x 23
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 2 = 32
Therefore, the value for common factors is 32.
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 = 206554973184/(1x32)
LCM = 206554973184/32
LCM = 6454842912
Thus, we can understand that the LCM of 864,343,947,736 is 6454842912.
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FAQs on LCM of 864, 343, 947, 736
1. What is the LCM of 864, 343, 947, 736?
Answer: LCM of 864, 343, 947, 736 is 6454842912.
2. How to calculate the LCM of 864, 343, 947, 736?
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 864, 343, 947, 736.
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}.