Find the LCM of 637, 895, 311, 328, 767 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 637, 895, 311, 328, 767. So, keep reading to learn more.
Given numbers are 637,895,311,328,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,895,311,328,767 is 3431221164280.
Find LCM of 637,895,311,328,767 with Prime Factorization
13 | 637, 895, 311, 328, 767 |
49, 895, 311, 328, 59 |
Multiply the prime numbers at the bottom and the left side.
13 x 49 x 895 x 311 x 328 x 59 = 3431221164280
Therefore, the lowest common multiple of 637,895,311,328,767 is 3431221164280.
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.
637 x 895 x 311 x 328 x 767 = 44605875135640
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.
637 : 1, 7, 13, 49, 91, 637
895 : 1, 5, 179, 895
311 : 1, 311
328 : 1, 2, 4, 8, 41, 82, 164, 328
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,895,311,328,767, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
895:5x 179
311:311
328:2x 2x 2x 41
767:13x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 44605875135640/(1x13)
LCM = 44605875135640/13
LCM = 3431221164280
Thus, we can understand that the LCM of 637,895,311,328,767 is 3431221164280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 637, 895, 311, 328, 767?
Answer: LCM of 637, 895, 311, 328, 767 is 3431221164280.
2. How to calculate the LCM of 637, 895, 311, 328, 767?
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 637, 895, 311, 328, 767.
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}.