Find the LCM of 657, 365, 617, 309, 580 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 657, 365, 617, 309, 580. So, keep reading to learn more.
Given numbers are 657,365,617,309,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,365,617,309,580 is 24216744060.
Find LCM of 657,365,617,309,580 with Prime Factorization
3 | 657, 365, 617, 309, 580 |
5 | 219, 365, 617, 103, 580 |
73 | 219, 73, 617, 103, 116 |
3, 1, 617, 103, 116 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 73 x 3 x 1 x 617 x 103 x 116 = 24216744060
Therefore, the lowest common multiple of 657,365,617,309,580 is 24216744060.
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.
657 x 365 x 617 x 309 x 580 = 26517334745700
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.
657 : 1, 3, 9, 73, 219, 657
365 : 1, 5, 73, 365
617 : 1, 617
309 : 1, 3, 103, 309
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,365,617,309,580, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
365:5x 73
617:617
309:3x 103
580:2x 2x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 73 = 1095
Therefore, the value for common factors is 1095.
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 = 26517334745700/(1x1095)
LCM = 26517334745700/1095
LCM = 24216744060
Thus, we can understand that the LCM of 657,365,617,309,580 is 24216744060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 365, 617, 309, 580?
Answer: LCM of 657, 365, 617, 309, 580 is 24216744060.
2. How to calculate the LCM of 657, 365, 617, 309, 580?
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 657, 365, 617, 309, 580.
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}.