LCM of 527, 220, 363, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 220, 363, 792 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 527, 220, 363, 792. So, keep reading to learn more.
Given numbers are 527,220,363,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,220,363,792 is 22956120.
Find LCM of 527,220,363,792 with Prime Factorization
| 2 | 527, 220, 363, 792 |
| 2 | 527, 110, 363, 396 |
| 3 | 527, 55, 363, 198 |
| 11 | 527, 55, 121, 66 |
| 527, 5, 11, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 527 x 5 x 11 x 6 = 22956120
Therefore, the lowest common multiple of 527,220,363,792 is 22956120.
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.
527 x 220 x 363 x 792 = 33332286240
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.
527 : 1, 17, 31, 527
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
363 : 1, 3, 11, 33, 121, 363
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,220,363,792, is 1.
Now, the common factors can be found like this.
527:17x 31
220:2x 2x 5x 11
363:3x 11x 11
792:2x 2x 2x 3x 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 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 33332286240/(1x1452)
LCM = 33332286240/1452
LCM = 22956120
Thus, we can understand that the LCM of 527,220,363,792 is 22956120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 527, 220, 363, 792
1. What is the LCM of 527, 220, 363, 792?
Answer: LCM of 527, 220, 363, 792 is 22956120.
2. How to calculate the LCM of 527, 220, 363, 792?
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 527, 220, 363, 792.
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}.