Find the LCM of 134, 722, 337, 468, 339 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, 722, 337, 468, 339. So, keep reading to learn more.
Given numbers are 134,722,337,468,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,722,337,468,339 is 431058488796.
Find LCM of 134,722,337,468,339 with Prime Factorization
2 | 134, 722, 337, 468, 339 |
3 | 67, 361, 337, 234, 339 |
67, 361, 337, 78, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 361 x 337 x 78 x 113 = 431058488796
Therefore, the lowest common multiple of 134,722,337,468,339 is 431058488796.
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 722 x 337 x 468 x 339 = 5172701865552
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
722 : 1, 2, 19, 38, 361, 722
337 : 1, 337
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,722,337,468,339, is 1.
Now, the common factors can be found like this.
134:2x 67
722:2x 19x 19
337:337
468:2x 2x 3x 3x 13
339:3x 113
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 3 = 12
Therefore, the value for common factors is 12.
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 = 5172701865552/(1x12)
LCM = 5172701865552/12
LCM = 431058488796
Thus, we can understand that the LCM of 134,722,337,468,339 is 431058488796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 134, 722, 337, 468, 339?
Answer: LCM of 134, 722, 337, 468, 339 is 431058488796.
2. How to calculate the LCM of 134, 722, 337, 468, 339?
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, 722, 337, 468, 339.
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}.