LCM of 813, 819, 947, 914, 157
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 819, 947, 914, 157 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 813, 819, 947, 914, 157. So, keep reading to learn more.
Given numbers are 813,819,947,914,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,819,947,914,157 is 30161228009094.
Find LCM of 813,819,947,914,157 with Prime Factorization
| 3 | 813, 819, 947, 914, 157 |
| 271, 273, 947, 914, 157 |
Multiply the prime numbers at the bottom and the left side.
3 x 271 x 273 x 947 x 914 x 157 = 30161228009094
Therefore, the lowest common multiple of 813,819,947,914,157 is 30161228009094.
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.
813 x 819 x 947 x 914 x 157 = 90483684027282
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.
813 : 1, 3, 271, 813
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
947 : 1, 947
914 : 1, 2, 457, 914
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,819,947,914,157, is 1.
Now, the common factors can be found like this.
813:3x 271
819:3x 3x 7x 13
947:947
914:2x 457
157:157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 90483684027282/(1x3)
LCM = 90483684027282/3
LCM = 30161228009094
Thus, we can understand that the LCM of 813,819,947,914,157 is 30161228009094.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 813, 819, 947, 914, 157
1. What is the LCM of 813, 819, 947, 914, 157?
Answer: LCM of 813, 819, 947, 914, 157 is 30161228009094.
2. How to calculate the LCM of 813, 819, 947, 914, 157?
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 813, 819, 947, 914, 157.
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}.