LCM of 813, 320, 913, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 320, 913, 528 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, 320, 913, 528. So, keep reading to learn more.
Given numbers are 813,320,913,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,320,913,528 is 237526080.
Find LCM of 813,320,913,528 with Prime Factorization
| 2 | 813, 320, 913, 528 |
| 2 | 813, 160, 913, 264 |
| 2 | 813, 80, 913, 132 |
| 2 | 813, 40, 913, 66 |
| 3 | 813, 20, 913, 33 |
| 11 | 271, 20, 913, 11 |
| 271, 20, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 271 x 20 x 83 x 1 = 237526080
Therefore, the lowest common multiple of 813,320,913,528 is 237526080.
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 320 x 913 x 528 = 125413770240
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
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
913 : 1, 11, 83, 913
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,320,913,528, is 1.
Now, the common factors can be found like this.
813:3x 271
320:2x 2x 2x 2x 2x 2x 5
913:11x 83
528:2x 2x 2x 2x 3x 11
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 125413770240/(1x528)
LCM = 125413770240/528
LCM = 237526080
Thus, we can understand that the LCM of 813,320,913,528 is 237526080.
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FAQs on LCM of 813, 320, 913, 528
1. What is the LCM of 813, 320, 913, 528?
Answer: LCM of 813, 320, 913, 528 is 237526080.
2. How to calculate the LCM of 813, 320, 913, 528?
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, 320, 913, 528.
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}.