Find the LCM of 118, 299, 558, 805, 790 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 118, 299, 558, 805, 790. So, keep reading to learn more.
Given numbers are 118,299,558,805,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,299,558,805,790 is 27217769670.
Find LCM of 118,299,558,805,790 with Prime Factorization
2 | 118, 299, 558, 805, 790 |
5 | 59, 299, 279, 805, 395 |
23 | 59, 299, 279, 161, 79 |
59, 13, 279, 7, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 59 x 13 x 279 x 7 x 79 = 27217769670
Therefore, the lowest common multiple of 118,299,558,805,790 is 27217769670.
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.
118 x 299 x 558 x 805 x 790 = 12520174048200
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.
118 : 1, 2, 59, 118
299 : 1, 13, 23, 299
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
805 : 1, 5, 7, 23, 35, 115, 161, 805
790 : 1, 2, 5, 10, 79, 158, 395, 790
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,299,558,805,790, is 1.
Now, the common factors can be found like this.
118:2x 59
299:13x 23
558:2x 3x 3x 31
805:5x 7x 23
790:2x 5x 79
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 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 12520174048200/(1x460)
LCM = 12520174048200/460
LCM = 27217769670
Thus, we can understand that the LCM of 118,299,558,805,790 is 27217769670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 118, 299, 558, 805, 790?
Answer: LCM of 118, 299, 558, 805, 790 is 27217769670.
2. How to calculate the LCM of 118, 299, 558, 805, 790?
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 118, 299, 558, 805, 790.
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}.