Find the LCM of 435, 416, 260, 715, 254 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 435, 416, 260, 715, 254. So, keep reading to learn more.
Given numbers are 435,416,260,715,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,416,260,715,254 is 252801120.
Find LCM of 435,416,260,715,254 with Prime Factorization
2 | 435, 416, 260, 715, 254 |
2 | 435, 208, 130, 715, 127 |
5 | 435, 104, 65, 715, 127 |
13 | 87, 104, 13, 143, 127 |
87, 8, 1, 11, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 87 x 8 x 1 x 11 x 127 = 252801120
Therefore, the lowest common multiple of 435,416,260,715,254 is 252801120.
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.
435 x 416 x 260 x 715 x 254 = 8544677856000
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
715 : 1, 5, 11, 13, 55, 65, 143, 715
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,416,260,715,254, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
416:2x 2x 2x 2x 2x 13
260:2x 2x 5x 13
715:5x 11x 13
254:2x 127
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 5x 13x 13 = 33800
Therefore, the value for common factors is 33800.
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 = 8544677856000/(1x33800)
LCM = 8544677856000/33800
LCM = 252801120
Thus, we can understand that the LCM of 435,416,260,715,254 is 252801120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 435, 416, 260, 715, 254?
Answer: LCM of 435, 416, 260, 715, 254 is 252801120.
2. How to calculate the LCM of 435, 416, 260, 715, 254?
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 435, 416, 260, 715, 254.
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}.