LCM of 307, 598, 416, 307
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 598, 416, 307 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 307, 598, 416, 307. So, keep reading to learn more.
Given numbers are 307,598,416,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,598,416,307 is 2937376.
Find LCM of 307,598,416,307 with Prime Factorization
| 2 | 307, 598, 416, 307 |
| 13 | 307, 299, 208, 307 |
| 307 | 307, 23, 16, 307 |
| 1, 23, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 307 x 1 x 23 x 16 x 1 = 2937376
Therefore, the lowest common multiple of 307,598,416,307 is 2937376.
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.
307 x 598 x 416 x 307 = 23446135232
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.
307 : 1, 307
598 : 1, 2, 13, 23, 26, 46, 299, 598
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,598,416,307, is 1.
Now, the common factors can be found like this.
307:307
598:2x 13x 23
416:2x 2x 2x 2x 2x 13
307:307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 307 = 7982
Therefore, the value for common factors is 7982.
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 = 23446135232/(1x7982)
LCM = 23446135232/7982
LCM = 2937376
Thus, we can understand that the LCM of 307,598,416,307 is 2937376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 598, 416, 307
1. What is the LCM of 307, 598, 416, 307?
Answer: LCM of 307, 598, 416, 307 is 2937376.
2. How to calculate the LCM of 307, 598, 416, 307?
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 307, 598, 416, 307.
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}.