Find the LCM of 342, 737, 453, 335, 513 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 342, 737, 453, 335, 513. So, keep reading to learn more.
Given numbers are 342,737,453,335,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,737,453,335,513 is 570902310.
Find LCM of 342,737,453,335,513 with Prime Factorization
3 | 342, 737, 453, 335, 513 |
3 | 114, 737, 151, 335, 171 |
19 | 38, 737, 151, 335, 57 |
67 | 2, 737, 151, 335, 3 |
2, 11, 151, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 67 x 2 x 11 x 151 x 5 x 3 = 570902310
Therefore, the lowest common multiple of 342,737,453,335,513 is 570902310.
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.
342 x 737 x 453 x 335 x 513 = 19622483297010
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
737 : 1, 11, 67, 737
453 : 1, 3, 151, 453
335 : 1, 5, 67, 335
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,737,453,335,513, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
737:11x 67
453:3x 151
335:5x 67
513:3x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 19x 67 = 34371
Therefore, the value for common factors is 34371.
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 = 19622483297010/(1x34371)
LCM = 19622483297010/34371
LCM = 570902310
Thus, we can understand that the LCM of 342,737,453,335,513 is 570902310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 737, 453, 335, 513?
Answer: LCM of 342, 737, 453, 335, 513 is 570902310.
2. How to calculate the LCM of 342, 737, 453, 335, 513?
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 342, 737, 453, 335, 513.
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}.