Find the LCM of 310, 728, 892, 689, 265 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 310, 728, 892, 689, 265. So, keep reading to learn more.
Given numbers are 310,728,892,689,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,728,892,689,265 is 1333655960.
Find LCM of 310,728,892,689,265 with Prime Factorization
2 | 310, 728, 892, 689, 265 |
2 | 155, 364, 446, 689, 265 |
5 | 155, 182, 223, 689, 265 |
13 | 31, 182, 223, 689, 53 |
53 | 31, 14, 223, 53, 53 |
31, 14, 223, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 53 x 31 x 14 x 223 x 1 x 1 = 1333655960
Therefore, the lowest common multiple of 310,728,892,689,265 is 1333655960.
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.
310 x 728 x 892 x 689 x 265 = 36755558257600
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
892 : 1, 2, 4, 223, 446, 892
689 : 1, 13, 53, 689
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,728,892,689,265, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
728:2x 2x 2x 7x 13
892:2x 2x 223
689:13x 53
265:5x 53
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 5x 13x 53 = 27560
Therefore, the value for common factors is 27560.
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 = 36755558257600/(1x27560)
LCM = 36755558257600/27560
LCM = 1333655960
Thus, we can understand that the LCM of 310,728,892,689,265 is 1333655960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 728, 892, 689, 265?
Answer: LCM of 310, 728, 892, 689, 265 is 1333655960.
2. How to calculate the LCM of 310, 728, 892, 689, 265?
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 310, 728, 892, 689, 265.
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}.