Find the LCM of 495, 610, 787, 289, 604 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 495, 610, 787, 289, 604. So, keep reading to learn more.
Given numbers are 495,610,787,289,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,610,787,289,604 is 4148055396540.
Find LCM of 495,610,787,289,604 with Prime Factorization
2 | 495, 610, 787, 289, 604 |
5 | 495, 305, 787, 289, 302 |
99, 61, 787, 289, 302 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 99 x 61 x 787 x 289 x 302 = 4148055396540
Therefore, the lowest common multiple of 495,610,787,289,604 is 4148055396540.
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.
495 x 610 x 787 x 289 x 604 = 41480553965400
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
610 : 1, 2, 5, 10, 61, 122, 305, 610
787 : 1, 787
289 : 1, 17, 289
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,610,787,289,604, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
610:2x 5x 61
787:787
289:17x 17
604:2x 2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 41480553965400/(1x10)
LCM = 41480553965400/10
LCM = 4148055396540
Thus, we can understand that the LCM of 495,610,787,289,604 is 4148055396540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 495, 610, 787, 289, 604?
Answer: LCM of 495, 610, 787, 289, 604 is 4148055396540.
2. How to calculate the LCM of 495, 610, 787, 289, 604?
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 495, 610, 787, 289, 604.
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}.