LCM of 572, 430, 427, 539, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 430, 427, 539, 513 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 572, 430, 427, 539, 513. So, keep reading to learn more.
Given numbers are 572,430,427,539,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,430,427,539,513 is 188572243860.
Find LCM of 572,430,427,539,513 with Prime Factorization
| 2 | 572, 430, 427, 539, 513 |
| 7 | 286, 215, 427, 539, 513 |
| 11 | 286, 215, 61, 77, 513 |
| 26, 215, 61, 7, 513 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 26 x 215 x 61 x 7 x 513 = 188572243860
Therefore, the lowest common multiple of 572,430,427,539,513 is 188572243860.
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.
572 x 430 x 427 x 539 x 513 = 29040125554440
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
430 : 1, 2, 5, 10, 43, 86, 215, 430
427 : 1, 7, 61, 427
539 : 1, 7, 11, 49, 77, 539
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,430,427,539,513, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
430:2x 5x 43
427:7x 61
539:7x 7x 11
513:3x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 29040125554440/(1x154)
LCM = 29040125554440/154
LCM = 188572243860
Thus, we can understand that the LCM of 572,430,427,539,513 is 188572243860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 430, 427, 539, 513
1. What is the LCM of 572, 430, 427, 539, 513?
Answer: LCM of 572, 430, 427, 539, 513 is 188572243860.
2. How to calculate the LCM of 572, 430, 427, 539, 513?
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 572, 430, 427, 539, 513.
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}.