Find the LCM of 790, 492, 586, 158 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 790, 492, 586, 158. So, keep reading to learn more.
Given numbers are 790,492,586,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,492,586,158 is 56941620.
Find LCM of 790,492,586,158 with Prime Factorization
2 | 790, 492, 586, 158 |
79 | 395, 246, 293, 79 |
5, 246, 293, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 5 x 246 x 293 x 1 = 56941620
Therefore, the lowest common multiple of 790,492,586,158 is 56941620.
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.
790 x 492 x 586 x 158 = 35987103840
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
586 : 1, 2, 293, 586
158 : 1, 2, 79, 158
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,492,586,158, is 2.
Now, the common factors can be found like this.
790:2x 5x 79
492:2x 2x 3x 41
586:2x 293
158:2x 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 79 = 316
Therefore, the value for common factors is 316.
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 = 35987103840/(2x316)
LCM = 35987103840/632
LCM = 56941620
Thus, we can understand that the LCM of 790,492,586,158 is 56941620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 790, 492, 586, 158?
Answer: LCM of 790, 492, 586, 158 is 56941620.
2. How to calculate the LCM of 790, 492, 586, 158?
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 790, 492, 586, 158.
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}.