Find the LCM of 236, 916, 556, 695, 375 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 236, 916, 556, 695, 375. So, keep reading to learn more.
Given numbers are 236,916,556,695,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,916,556,695,375 is 2817043500.
Find LCM of 236,916,556,695,375 with Prime Factorization
2 | 236, 916, 556, 695, 375 |
2 | 118, 458, 278, 695, 375 |
5 | 59, 229, 139, 695, 375 |
139 | 59, 229, 139, 139, 75 |
59, 229, 1, 1, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 139 x 59 x 229 x 1 x 1 x 75 = 2817043500
Therefore, the lowest common multiple of 236,916,556,695,375 is 2817043500.
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.
236 x 916 x 556 x 695 x 375 = 31325523720000
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.
236 : 1, 2, 4, 59, 118, 236
916 : 1, 2, 4, 229, 458, 916
556 : 1, 2, 4, 139, 278, 556
695 : 1, 5, 139, 695
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,916,556,695,375, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
916:2x 2x 229
556:2x 2x 139
695:5x 139
375:3x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 139 = 11120
Therefore, the value for common factors is 11120.
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 = 31325523720000/(1x11120)
LCM = 31325523720000/11120
LCM = 2817043500
Thus, we can understand that the LCM of 236,916,556,695,375 is 2817043500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 916, 556, 695, 375?
Answer: LCM of 236, 916, 556, 695, 375 is 2817043500.
2. How to calculate the LCM of 236, 916, 556, 695, 375?
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 236, 916, 556, 695, 375.
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}.