LCM of 904, 424, 300, 237, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 424, 300, 237, 316 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 904, 424, 300, 237, 316. So, keep reading to learn more.
Given numbers are 904,424,300,237,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,424,300,237,316 is 283878600.
Find LCM of 904,424,300,237,316 with Prime Factorization
| 2 | 904, 424, 300, 237, 316 |
| 2 | 452, 212, 150, 237, 158 |
| 2 | 226, 106, 75, 237, 79 |
| 3 | 113, 53, 75, 237, 79 |
| 79 | 113, 53, 25, 79, 79 |
| 113, 53, 25, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 79 x 113 x 53 x 25 x 1 x 1 = 283878600
Therefore, the lowest common multiple of 904,424,300,237,316 is 283878600.
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.
904 x 424 x 300 x 237 x 316 = 8611741209600
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
424 : 1, 2, 4, 8, 53, 106, 212, 424
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
237 : 1, 3, 79, 237
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,424,300,237,316, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
424:2x 2x 2x 53
300:2x 2x 3x 5x 5
237:3x 79
316:2x 2x 79
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 2x 2x 2x 3x 79 = 30336
Therefore, the value for common factors is 30336.
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 = 8611741209600/(1x30336)
LCM = 8611741209600/30336
LCM = 283878600
Thus, we can understand that the LCM of 904,424,300,237,316 is 283878600.
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FAQs on LCM of 904, 424, 300, 237, 316
1. What is the LCM of 904, 424, 300, 237, 316?
Answer: LCM of 904, 424, 300, 237, 316 is 283878600.
2. How to calculate the LCM of 904, 424, 300, 237, 316?
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 904, 424, 300, 237, 316.
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}.