LCM of 368, 868, 161, 959, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 868, 161, 959, 947 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 368, 868, 161, 959, 947. So, keep reading to learn more.
Given numbers are 368,868,161,959,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,868,161,959,947 is 10360437584.
Find LCM of 368,868,161,959,947 with Prime Factorization
| 2 | 368, 868, 161, 959, 947 |
| 2 | 184, 434, 161, 959, 947 |
| 7 | 92, 217, 161, 959, 947 |
| 23 | 92, 31, 23, 137, 947 |
| 4, 31, 1, 137, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 4 x 31 x 1 x 137 x 947 = 10360437584
Therefore, the lowest common multiple of 368,868,161,959,947 is 10360437584.
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.
368 x 868 x 161 x 959 x 947 = 46704852628672
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
161 : 1, 7, 23, 161
959 : 1, 7, 137, 959
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,868,161,959,947, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
868:2x 2x 7x 31
161:7x 23
959:7x 137
947:947
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 7x 7x 23 = 4508
Therefore, the value for common factors is 4508.
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 = 46704852628672/(1x4508)
LCM = 46704852628672/4508
LCM = 10360437584
Thus, we can understand that the LCM of 368,868,161,959,947 is 10360437584.
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FAQs on LCM of 368, 868, 161, 959, 947
1. What is the LCM of 368, 868, 161, 959, 947?
Answer: LCM of 368, 868, 161, 959, 947 is 10360437584.
2. How to calculate the LCM of 368, 868, 161, 959, 947?
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 368, 868, 161, 959, 947.
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}.