Find the LCM of 134, 690, 771, 934, 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 134, 690, 771, 934, 790. So, keep reading to learn more.
Given numbers are 134,690,771,934,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,690,771,934,790 is 438329791230.
Find LCM of 134,690,771,934,790 with Prime Factorization
2 | 134, 690, 771, 934, 790 |
3 | 67, 345, 771, 467, 395 |
5 | 67, 115, 257, 467, 395 |
67, 23, 257, 467, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 67 x 23 x 257 x 467 x 79 = 438329791230
Therefore, the lowest common multiple of 134,690,771,934,790 is 438329791230.
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.
134 x 690 x 771 x 934 x 790 = 52599574947600
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.
134 : 1, 2, 67, 134
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
771 : 1, 3, 257, 771
934 : 1, 2, 467, 934
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 134,690,771,934,790, is 1.
Now, the common factors can be found like this.
134:2x 67
690:2x 3x 5x 23
771:3x 257
934:2x 467
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 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 52599574947600/(1x120)
LCM = 52599574947600/120
LCM = 438329791230
Thus, we can understand that the LCM of 134,690,771,934,790 is 438329791230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 134, 690, 771, 934, 790?
Answer: LCM of 134, 690, 771, 934, 790 is 438329791230.
2. How to calculate the LCM of 134, 690, 771, 934, 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 134, 690, 771, 934, 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}.