LCM of 447, 284, 302, 316, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 284, 302, 316, 914 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 447, 284, 302, 316, 914. So, keep reading to learn more.
Given numbers are 447,284,302,316,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,284,302,316,914 is 692063750244.
Find LCM of 447,284,302,316,914 with Prime Factorization
| 2 | 447, 284, 302, 316, 914 |
| 2 | 447, 142, 151, 158, 457 |
| 447, 71, 151, 79, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 447 x 71 x 151 x 79 x 457 = 692063750244
Therefore, the lowest common multiple of 447,284,302,316,914 is 692063750244.
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.
447 x 284 x 302 x 316 x 914 = 11073020003904
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.
447 : 1, 3, 149, 447
284 : 1, 2, 4, 71, 142, 284
302 : 1, 2, 151, 302
316 : 1, 2, 4, 79, 158, 316
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,284,302,316,914, is 1.
Now, the common factors can be found like this.
447:3x 149
284:2x 2x 71
302:2x 151
316:2x 2x 79
914:2x 457
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 2 = 16
Therefore, the value for common factors is 16.
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 = 11073020003904/(1x16)
LCM = 11073020003904/16
LCM = 692063750244
Thus, we can understand that the LCM of 447,284,302,316,914 is 692063750244.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 447, 284, 302, 316, 914
1. What is the LCM of 447, 284, 302, 316, 914?
Answer: LCM of 447, 284, 302, 316, 914 is 692063750244.
2. How to calculate the LCM of 447, 284, 302, 316, 914?
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 447, 284, 302, 316, 914.
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}.