Find the LCM of 603, 130, 546, 335, 963 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 603, 130, 546, 335, 963. So, keep reading to learn more.
Given numbers are 603,130,546,335,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,130,546,335,963 is 58714110.
Find LCM of 603,130,546,335,963 with Prime Factorization
2 | 603, 130, 546, 335, 963 |
3 | 603, 65, 273, 335, 963 |
3 | 201, 65, 91, 335, 321 |
5 | 67, 65, 91, 335, 107 |
13 | 67, 13, 91, 67, 107 |
67 | 67, 1, 7, 67, 107 |
1, 1, 7, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 67 x 1 x 1 x 7 x 1 x 107 = 58714110
Therefore, the lowest common multiple of 603,130,546,335,963 is 58714110.
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.
603 x 130 x 546 x 335 x 963 = 13807797248700
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.
603 : 1, 3, 9, 67, 201, 603
130 : 1, 2, 5, 10, 13, 26, 65, 130
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
335 : 1, 5, 67, 335
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,130,546,335,963, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
130:2x 5x 13
546:2x 3x 7x 13
335:5x 67
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 13x 67 = 235170
Therefore, the value for common factors is 235170.
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 = 13807797248700/(1x235170)
LCM = 13807797248700/235170
LCM = 58714110
Thus, we can understand that the LCM of 603,130,546,335,963 is 58714110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 603, 130, 546, 335, 963?
Answer: LCM of 603, 130, 546, 335, 963 is 58714110.
2. How to calculate the LCM of 603, 130, 546, 335, 963?
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 603, 130, 546, 335, 963.
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}.