Find the LCM of 724, 837, 835, 370, 359 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 724, 837, 835, 370, 359. So, keep reading to learn more.
Given numbers are 724,837,835,370,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,837,835,370,359 is 6721197734340.
Find LCM of 724,837,835,370,359 with Prime Factorization
2 | 724, 837, 835, 370, 359 |
5 | 362, 837, 835, 185, 359 |
362, 837, 167, 37, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 362 x 837 x 167 x 37 x 359 = 6721197734340
Therefore, the lowest common multiple of 724,837,835,370,359 is 6721197734340.
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.
724 x 837 x 835 x 370 x 359 = 67211977343400
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.
724 : 1, 2, 4, 181, 362, 724
837 : 1, 3, 9, 27, 31, 93, 279, 837
835 : 1, 5, 167, 835
370 : 1, 2, 5, 10, 37, 74, 185, 370
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,837,835,370,359, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
837:3x 3x 3x 31
835:5x 167
370:2x 5x 37
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 67211977343400/(1x10)
LCM = 67211977343400/10
LCM = 6721197734340
Thus, we can understand that the LCM of 724,837,835,370,359 is 6721197734340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 837, 835, 370, 359?
Answer: LCM of 724, 837, 835, 370, 359 is 6721197734340.
2. How to calculate the LCM of 724, 837, 835, 370, 359?
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 724, 837, 835, 370, 359.
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}.