LCM of 934, 532, 486, 645, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 532, 486, 645, 810 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 934, 532, 486, 645, 810. So, keep reading to learn more.
Given numbers are 934,532,486,645,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,532,486,645,810 is 12979956780.
Find LCM of 934,532,486,645,810 with Prime Factorization
| 2 | 934, 532, 486, 645, 810 |
| 3 | 467, 266, 243, 645, 405 |
| 3 | 467, 266, 81, 215, 135 |
| 3 | 467, 266, 27, 215, 45 |
| 3 | 467, 266, 9, 215, 15 |
| 5 | 467, 266, 3, 215, 5 |
| 467, 266, 3, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 467 x 266 x 3 x 43 x 1 = 12979956780
Therefore, the lowest common multiple of 934,532,486,645,810 is 12979956780.
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.
934 x 532 x 486 x 645 x 810 = 126165179901600
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.
934 : 1, 2, 467, 934
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
645 : 1, 3, 5, 15, 43, 129, 215, 645
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,532,486,645,810, is 1.
Now, the common factors can be found like this.
934:2x 467
532:2x 2x 7x 19
486:2x 3x 3x 3x 3x 3
645:3x 5x 43
810:2x 3x 3x 3x 3x 5
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 3x 3x 3x 3x 3x 5 = 9720
Therefore, the value for common factors is 9720.
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 = 126165179901600/(1x9720)
LCM = 126165179901600/9720
LCM = 12979956780
Thus, we can understand that the LCM of 934,532,486,645,810 is 12979956780.
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FAQs on LCM of 934, 532, 486, 645, 810
1. What is the LCM of 934, 532, 486, 645, 810?
Answer: LCM of 934, 532, 486, 645, 810 is 12979956780.
2. How to calculate the LCM of 934, 532, 486, 645, 810?
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 934, 532, 486, 645, 810.
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}.