LCM of 460, 784, 957, 883, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 784, 957, 883, 813 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 460, 784, 957, 883, 813. So, keep reading to learn more.
Given numbers are 460,784,957,883,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,784,957,883,813 is 20646946634160.
Find LCM of 460,784,957,883,813 with Prime Factorization
| 2 | 460, 784, 957, 883, 813 |
| 2 | 230, 392, 957, 883, 813 |
| 3 | 115, 196, 957, 883, 813 |
| 115, 196, 319, 883, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 115 x 196 x 319 x 883 x 271 = 20646946634160
Therefore, the lowest common multiple of 460,784,957,883,813 is 20646946634160.
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.
460 x 784 x 957 x 883 x 813 = 247763359609920
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
957 : 1, 3, 11, 29, 33, 87, 319, 957
883 : 1, 883
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,784,957,883,813, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
784:2x 2x 2x 2x 7x 7
957:3x 11x 29
883:883
813:3x 271
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 3 = 12
Therefore, the value for common factors is 12.
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 = 247763359609920/(1x12)
LCM = 247763359609920/12
LCM = 20646946634160
Thus, we can understand that the LCM of 460,784,957,883,813 is 20646946634160.
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FAQs on LCM of 460, 784, 957, 883, 813
1. What is the LCM of 460, 784, 957, 883, 813?
Answer: LCM of 460, 784, 957, 883, 813 is 20646946634160.
2. How to calculate the LCM of 460, 784, 957, 883, 813?
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 460, 784, 957, 883, 813.
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}.