Find the LCM of 742, 514, 397, 455, 620 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 742, 514, 397, 455, 620. So, keep reading to learn more.
Given numbers are 742,514,397,455,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,514,397,455,620 is 305093237540.
Find LCM of 742,514,397,455,620 with Prime Factorization
2 | 742, 514, 397, 455, 620 |
5 | 371, 257, 397, 455, 310 |
7 | 371, 257, 397, 91, 62 |
53, 257, 397, 13, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 53 x 257 x 397 x 13 x 62 = 305093237540
Therefore, the lowest common multiple of 742,514,397,455,620 is 305093237540.
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.
742 x 514 x 397 x 455 x 620 = 42713053255600
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
514 : 1, 2, 257, 514
397 : 1, 397
455 : 1, 5, 7, 13, 35, 65, 91, 455
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,514,397,455,620, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
514:2x 257
397:397
455:5x 7x 13
620:2x 2x 5x 31
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 7 = 140
Therefore, the value for common factors is 140.
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 = 42713053255600/(1x140)
LCM = 42713053255600/140
LCM = 305093237540
Thus, we can understand that the LCM of 742,514,397,455,620 is 305093237540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 742, 514, 397, 455, 620?
Answer: LCM of 742, 514, 397, 455, 620 is 305093237540.
2. How to calculate the LCM of 742, 514, 397, 455, 620?
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 742, 514, 397, 455, 620.
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}.