LCM of 529, 460, 315, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 529, 460, 315, 972 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 529, 460, 315, 972. So, keep reading to learn more.
Given numbers are 529,460,315,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,460,315,972 is 17996580.
Find LCM of 529,460,315,972 with Prime Factorization
| 2 | 529, 460, 315, 972 |
| 2 | 529, 230, 315, 486 |
| 3 | 529, 115, 315, 243 |
| 3 | 529, 115, 105, 81 |
| 5 | 529, 115, 35, 27 |
| 23 | 529, 23, 7, 27 |
| 1, 23, 7, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 23 x 1 x 23 x 7 x 27 = 17996580
Therefore, the lowest common multiple of 529,460,315,972 is 17996580.
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.
529 x 460 x 315 x 972 = 74505841200
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.
529 : 1, 23, 529
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,460,315,972, is 1.
Now, the common factors can be found like this.
529:23x 23
460:2x 2x 5x 23
315:3x 3x 5x 7
972:2x 2x 3x 3x 3x 3x 3
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 3x 5x 23 = 4140
Therefore, the value for common factors is 4140.
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 = 74505841200/(1x4140)
LCM = 74505841200/4140
LCM = 17996580
Thus, we can understand that the LCM of 529,460,315,972 is 17996580.
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FAQs on LCM of 529, 460, 315, 972
1. What is the LCM of 529, 460, 315, 972?
Answer: LCM of 529, 460, 315, 972 is 17996580.
2. How to calculate the LCM of 529, 460, 315, 972?
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 529, 460, 315, 972.
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}.