Find the LCM of 937, 427, 585, 143, 126 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 937, 427, 585, 143, 126. So, keep reading to learn more.
Given numbers are 937,427,585,143,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,427,585,143,126 is 5149274130.
Find LCM of 937,427,585,143,126 with Prime Factorization
3 | 937, 427, 585, 143, 126 |
3 | 937, 427, 195, 143, 42 |
7 | 937, 427, 65, 143, 14 |
13 | 937, 61, 65, 143, 2 |
937, 61, 5, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 13 x 937 x 61 x 5 x 11 x 2 = 5149274130
Therefore, the lowest common multiple of 937,427,585,143,126 is 5149274130.
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.
937 x 427 x 585 x 143 x 126 = 4217255512470
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.
937 : 1, 937
427 : 1, 7, 61, 427
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
143 : 1, 11, 13, 143
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,427,585,143,126, is 1.
Now, the common factors can be found like this.
937:937
427:7x 61
585:3x 3x 5x 13
143:11x 13
126:2x 3x 3x 7
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 7x 13 = 819
Therefore, the value for common factors is 819.
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 = 4217255512470/(1x819)
LCM = 4217255512470/819
LCM = 5149274130
Thus, we can understand that the LCM of 937,427,585,143,126 is 5149274130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 937, 427, 585, 143, 126?
Answer: LCM of 937, 427, 585, 143, 126 is 5149274130.
2. How to calculate the LCM of 937, 427, 585, 143, 126?
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 937, 427, 585, 143, 126.
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}.