Find the LCM of 566, 239, 153, 765 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 566, 239, 153, 765. So, keep reading to learn more.
Given numbers are 566,239,153,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 566,239,153,765 is 103484610.
Find LCM of 566,239,153,765 with Prime Factorization
3 | 566, 239, 153, 765 |
3 | 566, 239, 51, 255 |
17 | 566, 239, 17, 85 |
566, 239, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 566 x 239 x 1 x 5 = 103484610
Therefore, the lowest common multiple of 566,239,153,765 is 103484610.
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.
566 x 239 x 153 x 765 = 15833145330
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.
566 : 1, 2, 283, 566
239 : 1, 239
153 : 1, 3, 9, 17, 51, 153
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,239,153,765, is 1.
Now, the common factors can be found like this.
566:2x 283
239:239
153:3x 3x 17
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 15833145330/(1x153)
LCM = 15833145330/153
LCM = 103484610
Thus, we can understand that the LCM of 566,239,153,765 is 103484610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 566, 239, 153, 765?
Answer: LCM of 566, 239, 153, 765 is 103484610.
2. How to calculate the LCM of 566, 239, 153, 765?
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 566, 239, 153, 765.
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}.