LCM of 524, 309, 458, 404, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 309, 458, 404, 506 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 524, 309, 458, 404, 506. So, keep reading to learn more.
Given numbers are 524,309,458,404,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,309,458,404,506 is 947473656492.
Find LCM of 524,309,458,404,506 with Prime Factorization
| 2 | 524, 309, 458, 404, 506 |
| 2 | 262, 309, 229, 202, 253 |
| 131, 309, 229, 101, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 309 x 229 x 101 x 253 = 947473656492
Therefore, the lowest common multiple of 524,309,458,404,506 is 947473656492.
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.
524 x 309 x 458 x 404 x 506 = 15159578503872
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.
524 : 1, 2, 4, 131, 262, 524
309 : 1, 3, 103, 309
458 : 1, 2, 229, 458
404 : 1, 2, 4, 101, 202, 404
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,309,458,404,506, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
309:3x 103
458:2x 229
404:2x 2x 101
506:2x 11x 23
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 2 = 16
Therefore, the value for common factors is 16.
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 = 15159578503872/(1x16)
LCM = 15159578503872/16
LCM = 947473656492
Thus, we can understand that the LCM of 524,309,458,404,506 is 947473656492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 309, 458, 404, 506
1. What is the LCM of 524, 309, 458, 404, 506?
Answer: LCM of 524, 309, 458, 404, 506 is 947473656492.
2. How to calculate the LCM of 524, 309, 458, 404, 506?
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 524, 309, 458, 404, 506.
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}.