LCM of 585, 292, 467, 103, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 292, 467, 103, 657 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 585, 292, 467, 103, 657. So, keep reading to learn more.
Given numbers are 585,292,467,103,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,292,467,103,657 is 8216612820.
Find LCM of 585,292,467,103,657 with Prime Factorization
| 3 | 585, 292, 467, 103, 657 |
| 3 | 195, 292, 467, 103, 219 |
| 73 | 65, 292, 467, 103, 73 |
| 65, 4, 467, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 73 x 65 x 4 x 467 x 103 x 1 = 8216612820
Therefore, the lowest common multiple of 585,292,467,103,657 is 8216612820.
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.
585 x 292 x 467 x 103 x 657 = 5398314622740
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
292 : 1, 2, 4, 73, 146, 292
467 : 1, 467
103 : 1, 103
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,292,467,103,657, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
292:2x 2x 73
467:467
103:103
657:3x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 73 = 657
Therefore, the value for common factors is 657.
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 = 5398314622740/(1x657)
LCM = 5398314622740/657
LCM = 8216612820
Thus, we can understand that the LCM of 585,292,467,103,657 is 8216612820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 585, 292, 467, 103, 657
1. What is the LCM of 585, 292, 467, 103, 657?
Answer: LCM of 585, 292, 467, 103, 657 is 8216612820.
2. How to calculate the LCM of 585, 292, 467, 103, 657?
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 585, 292, 467, 103, 657.
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}.