Find the LCM of 304, 187, 916, 556, 294 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 304, 187, 916, 556, 294. So, keep reading to learn more.
Given numbers are 304,187,916,556,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,187,916,556,294 is 266000717136.
Find LCM of 304,187,916,556,294 with Prime Factorization
2 | 304, 187, 916, 556, 294 |
2 | 152, 187, 458, 278, 147 |
76, 187, 229, 139, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 76 x 187 x 229 x 139 x 147 = 266000717136
Therefore, the lowest common multiple of 304,187,916,556,294 is 266000717136.
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.
304 x 187 x 916 x 556 x 294 = 8512022948352
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
187 : 1, 11, 17, 187
916 : 1, 2, 4, 229, 458, 916
556 : 1, 2, 4, 139, 278, 556
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,187,916,556,294, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
187:11x 17
916:2x 2x 229
556:2x 2x 139
294:2x 3x 7x 7
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 2 = 32
Therefore, the value for common factors is 32.
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 = 8512022948352/(1x32)
LCM = 8512022948352/32
LCM = 266000717136
Thus, we can understand that the LCM of 304,187,916,556,294 is 266000717136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 187, 916, 556, 294?
Answer: LCM of 304, 187, 916, 556, 294 is 266000717136.
2. How to calculate the LCM of 304, 187, 916, 556, 294?
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 304, 187, 916, 556, 294.
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}.