Find the LCM of 725, 309, 286, 650, 102 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 725, 309, 286, 650, 102. So, keep reading to learn more.
Given numbers are 725,309,286,650,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,309,286,650,102 is 1089209550.
Find LCM of 725,309,286,650,102 with Prime Factorization
2 | 725, 309, 286, 650, 102 |
3 | 725, 309, 143, 325, 51 |
5 | 725, 103, 143, 325, 17 |
5 | 145, 103, 143, 65, 17 |
13 | 29, 103, 143, 13, 17 |
29, 103, 11, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 29 x 103 x 11 x 1 x 17 = 1089209550
Therefore, the lowest common multiple of 725,309,286,650,102 is 1089209550.
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.
725 x 309 x 286 x 650 x 102 = 4247917245000
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.
725 : 1, 5, 25, 29, 145, 725
309 : 1, 3, 103, 309
286 : 1, 2, 11, 13, 22, 26, 143, 286
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,309,286,650,102, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
309:3x 103
286:2x 11x 13
650:2x 5x 5x 13
102:2x 3x 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 3x 5x 5x 13 = 3900
Therefore, the value for common factors is 3900.
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 = 4247917245000/(1x3900)
LCM = 4247917245000/3900
LCM = 1089209550
Thus, we can understand that the LCM of 725,309,286,650,102 is 1089209550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 725, 309, 286, 650, 102?
Answer: LCM of 725, 309, 286, 650, 102 is 1089209550.
2. How to calculate the LCM of 725, 309, 286, 650, 102?
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 725, 309, 286, 650, 102.
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}.