Find the LCM of 659, 771, 659, 318, 239 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 659, 771, 659, 318, 239. So, keep reading to learn more.
Given numbers are 659,771,659,318,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,771,659,318,239 is 12871926726.
Find LCM of 659,771,659,318,239 with Prime Factorization
3 | 659, 771, 659, 318, 239 |
659 | 659, 257, 659, 106, 239 |
1, 257, 1, 106, 239 |
Multiply the prime numbers at the bottom and the left side.
3 x 659 x 1 x 257 x 1 x 106 x 239 = 12871926726
Therefore, the lowest common multiple of 659,771,659,318,239 is 12871926726.
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.
659 x 771 x 659 x 318 x 239 = 25447799137302
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.
659 : 1, 659
771 : 1, 3, 257, 771
659 : 1, 659
318 : 1, 2, 3, 6, 53, 106, 159, 318
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,771,659,318,239, is 1.
Now, the common factors can be found like this.
659:659
771:3x 257
659:659
318:2x 3x 53
239:239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 659 = 1977
Therefore, the value for common factors is 1977.
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 = 25447799137302/(1x1977)
LCM = 25447799137302/1977
LCM = 12871926726
Thus, we can understand that the LCM of 659,771,659,318,239 is 12871926726.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 771, 659, 318, 239?
Answer: LCM of 659, 771, 659, 318, 239 is 12871926726.
2. How to calculate the LCM of 659, 771, 659, 318, 239?
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 659, 771, 659, 318, 239.
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}.