Find the LCM of 239, 717, 470, 719, 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 239, 717, 470, 719, 265. So, keep reading to learn more.
Given numbers are 239,717,470,719,265
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,717,470,719,265 is 12841677930.
Find LCM of 239,717,470,719,265 with Prime Factorization
5 | 239, 717, 470, 719, 265 |
239 | 239, 717, 94, 719, 53 |
1, 3, 94, 719, 53 |
Multiply the prime numbers at the bottom and the left side.
5 x 239 x 1 x 3 x 94 x 719 x 53 = 12841677930
Therefore, the lowest common multiple of 239,717,470,719,265 is 12841677930.
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.
239 x 717 x 470 x 719 x 265 = 15345805126350
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.
239 : 1, 239
717 : 1, 3, 239, 717
470 : 1, 2, 5, 10, 47, 94, 235, 470
719 : 1, 719
265 : 1, 5, 53, 265
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,717,470,719,265, is 1.
Now, the common factors can be found like this.
239:239
717:3x 239
470:2x 5x 47
719:719
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.
5x 239 = 1195
Therefore, the value for common factors is 1195.
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 = 15345805126350/(1x1195)
LCM = 15345805126350/1195
LCM = 12841677930
Thus, we can understand that the LCM of 239,717,470,719,265 is 12841677930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 239, 717, 470, 719, 265?
Answer: LCM of 239, 717, 470, 719, 265 is 12841677930.
2. How to calculate the LCM of 239, 717, 470, 719, 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 239, 717, 470, 719, 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}.