Find the LCM of 253, 278, 217, 187, 404 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 253, 278, 217, 187, 404. So, keep reading to learn more.
Given numbers are 253,278,217,187,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,278,217,187,404 is 52411349452.
Find LCM of 253,278,217,187,404 with Prime Factorization
2 | 253, 278, 217, 187, 404 |
11 | 253, 139, 217, 187, 202 |
23, 139, 217, 17, 202 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 139 x 217 x 17 x 202 = 52411349452
Therefore, the lowest common multiple of 253,278,217,187,404 is 52411349452.
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.
253 x 278 x 217 x 187 x 404 = 1153049687944
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.
253 : 1, 11, 23, 253
278 : 1, 2, 139, 278
217 : 1, 7, 31, 217
187 : 1, 11, 17, 187
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,278,217,187,404, is 1.
Now, the common factors can be found like this.
253:11x 23
278:2x 139
217:7x 31
187:11x 17
404:2x 2x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 1153049687944/(1x22)
LCM = 1153049687944/22
LCM = 52411349452
Thus, we can understand that the LCM of 253,278,217,187,404 is 52411349452.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 278, 217, 187, 404?
Answer: LCM of 253, 278, 217, 187, 404 is 52411349452.
2. How to calculate the LCM of 253, 278, 217, 187, 404?
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 253, 278, 217, 187, 404.
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}.