LCM of 935, 369, 220, 527, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 369, 220, 527, 403 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 935, 369, 220, 527, 403. So, keep reading to learn more.
Given numbers are 935,369,220,527,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,369,220,527,403 is 556164180.
Find LCM of 935,369,220,527,403 with Prime Factorization
| 5 | 935, 369, 220, 527, 403 |
| 11 | 187, 369, 44, 527, 403 |
| 17 | 17, 369, 4, 527, 403 |
| 31 | 1, 369, 4, 31, 403 |
| 1, 369, 4, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 31 x 1 x 369 x 4 x 1 x 13 = 556164180
Therefore, the lowest common multiple of 935,369,220,527,403 is 556164180.
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.
935 x 369 x 220 x 527 x 403 = 16120418757300
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
369 : 1, 3, 9, 41, 123, 369
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
527 : 1, 17, 31, 527
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,369,220,527,403, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
369:3x 3x 41
220:2x 2x 5x 11
527:17x 31
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 17x 31 = 28985
Therefore, the value for common factors is 28985.
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 = 16120418757300/(1x28985)
LCM = 16120418757300/28985
LCM = 556164180
Thus, we can understand that the LCM of 935,369,220,527,403 is 556164180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 369, 220, 527, 403
1. What is the LCM of 935, 369, 220, 527, 403?
Answer: LCM of 935, 369, 220, 527, 403 is 556164180.
2. How to calculate the LCM of 935, 369, 220, 527, 403?
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 935, 369, 220, 527, 403.
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}.