LCM of 531, 590, 292, 648, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 590, 292, 648, 854 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 531, 590, 292, 648, 854. So, keep reading to learn more.
Given numbers are 531,590,292,648,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,590,292,648,854 is 5958648360.
Find LCM of 531,590,292,648,854 with Prime Factorization
| 2 | 531, 590, 292, 648, 854 |
| 2 | 531, 295, 146, 324, 427 |
| 3 | 531, 295, 73, 162, 427 |
| 3 | 177, 295, 73, 54, 427 |
| 59 | 59, 295, 73, 18, 427 |
| 1, 5, 73, 18, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 59 x 1 x 5 x 73 x 18 x 427 = 5958648360
Therefore, the lowest common multiple of 531,590,292,648,854 is 5958648360.
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.
531 x 590 x 292 x 648 x 854 = 50624676466560
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.
531 : 1, 3, 9, 59, 177, 531
590 : 1, 2, 5, 10, 59, 118, 295, 590
292 : 1, 2, 4, 73, 146, 292
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,590,292,648,854, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
590:2x 5x 59
292:2x 2x 73
648:2x 2x 2x 3x 3x 3x 3
854:2x 7x 61
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 2x 3x 3x 59 = 8496
Therefore, the value for common factors is 8496.
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 = 50624676466560/(1x8496)
LCM = 50624676466560/8496
LCM = 5958648360
Thus, we can understand that the LCM of 531,590,292,648,854 is 5958648360.
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FAQs on LCM of 531, 590, 292, 648, 854
1. What is the LCM of 531, 590, 292, 648, 854?
Answer: LCM of 531, 590, 292, 648, 854 is 5958648360.
2. How to calculate the LCM of 531, 590, 292, 648, 854?
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 531, 590, 292, 648, 854.
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}.