Find the LCM of 790, 748, 692, 315, 379 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, 748, 692, 315, 379. So, keep reading to learn more.
Given numbers are 790,748,692,315,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,748,692,315,379 is 1220462826660.
Find LCM of 790,748,692,315,379 with Prime Factorization
2 | 790, 748, 692, 315, 379 |
2 | 395, 374, 346, 315, 379 |
5 | 395, 187, 173, 315, 379 |
79, 187, 173, 63, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 79 x 187 x 173 x 63 x 379 = 1220462826660
Therefore, the lowest common multiple of 790,748,692,315,379 is 1220462826660.
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 748 x 692 x 315 x 379 = 48818513066400
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
692 : 1, 2, 4, 173, 346, 692
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,748,692,315,379, is 1.
Now, the common factors can be found like this.
790:2x 5x 79
748:2x 2x 11x 17
692:2x 2x 173
315:3x 3x 5x 7
379:379
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 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 48818513066400/(1x40)
LCM = 48818513066400/40
LCM = 1220462826660
Thus, we can understand that the LCM of 790,748,692,315,379 is 1220462826660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 790, 748, 692, 315, 379?
Answer: LCM of 790, 748, 692, 315, 379 is 1220462826660.
2. How to calculate the LCM of 790, 748, 692, 315, 379?
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, 748, 692, 315, 379.
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}.