Find the LCM of 287, 749, 614, 337, 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 287, 749, 614, 337, 307. So, keep reading to learn more.
Given numbers are 287,749,614,337,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,749,614,337,307 is 6354244862.
Find LCM of 287,749,614,337,307 with Prime Factorization
7 | 287, 749, 614, 337, 307 |
307 | 41, 107, 614, 337, 307 |
41, 107, 2, 337, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 307 x 41 x 107 x 2 x 337 x 1 = 6354244862
Therefore, the lowest common multiple of 287,749,614,337,307 is 6354244862.
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.
287 x 749 x 614 x 337 x 307 = 13655272208438
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.
287 : 1, 7, 41, 287
749 : 1, 7, 107, 749
614 : 1, 2, 307, 614
337 : 1, 337
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,749,614,337,307, is 1.
Now, the common factors can be found like this.
287:7x 41
749:7x 107
614:2x 307
337:337
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.
7x 307 = 2149
Therefore, the value for common factors is 2149.
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 = 13655272208438/(1x2149)
LCM = 13655272208438/2149
LCM = 6354244862
Thus, we can understand that the LCM of 287,749,614,337,307 is 6354244862.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 287, 749, 614, 337, 307?
Answer: LCM of 287, 749, 614, 337, 307 is 6354244862.
2. How to calculate the LCM of 287, 749, 614, 337, 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 287, 749, 614, 337, 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}.