Find the LCM of 312, 567, 141, 361, 637 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 312, 567, 141, 361, 637. So, keep reading to learn more.
Given numbers are 312,567,141,361,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,567,141,361,637 is 7003570392.
Find LCM of 312,567,141,361,637 with Prime Factorization
3 | 312, 567, 141, 361, 637 |
7 | 104, 189, 47, 361, 637 |
13 | 104, 27, 47, 361, 91 |
8, 27, 47, 361, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 8 x 27 x 47 x 361 x 7 = 7003570392
Therefore, the lowest common multiple of 312,567,141,361,637 is 7003570392.
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.
312 x 567 x 141 x 361 x 637 = 5735924151048
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
141 : 1, 3, 47, 141
361 : 1, 19, 361
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,567,141,361,637, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
567:3x 3x 3x 3x 7
141:3x 47
361:19x 19
637:7x 7x 13
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 = 5735924151048/(1x819)
LCM = 5735924151048/819
LCM = 7003570392
Thus, we can understand that the LCM of 312,567,141,361,637 is 7003570392.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 567, 141, 361, 637?
Answer: LCM of 312, 567, 141, 361, 637 is 7003570392.
2. How to calculate the LCM of 312, 567, 141, 361, 637?
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 312, 567, 141, 361, 637.
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}.