Find the LCM of 913, 694, 506, 498, 578 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 913, 694, 506, 498, 578. So, keep reading to learn more.
Given numbers are 913,694,506,498,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,694,506,498,578 is 12635056302.
Find LCM of 913,694,506,498,578 with Prime Factorization
2 | 913, 694, 506, 498, 578 |
11 | 913, 347, 253, 249, 289 |
83 | 83, 347, 23, 249, 289 |
1, 347, 23, 3, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 83 x 1 x 347 x 23 x 3 x 289 = 12635056302
Therefore, the lowest common multiple of 913,694,506,498,578 is 12635056302.
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.
913 x 694 x 506 x 498 x 578 = 92286451229808
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.
913 : 1, 11, 83, 913
694 : 1, 2, 347, 694
506 : 1, 2, 11, 22, 23, 46, 253, 506
498 : 1, 2, 3, 6, 83, 166, 249, 498
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,694,506,498,578, is 1.
Now, the common factors can be found like this.
913:11x 83
694:2x 347
506:2x 11x 23
498:2x 3x 83
578:2x 17x 17
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 11x 83 = 7304
Therefore, the value for common factors is 7304.
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 = 92286451229808/(1x7304)
LCM = 92286451229808/7304
LCM = 12635056302
Thus, we can understand that the LCM of 913,694,506,498,578 is 12635056302.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 913, 694, 506, 498, 578?
Answer: LCM of 913, 694, 506, 498, 578 is 12635056302.
2. How to calculate the LCM of 913, 694, 506, 498, 578?
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 913, 694, 506, 498, 578.
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}.