Find the LCM of 903, 716, 849, 327, 337 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 903, 716, 849, 327, 337. So, keep reading to learn more.
Given numbers are 903,716,849,327,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,716,849,327,337 is 6721150294572.
Find LCM of 903,716,849,327,337 with Prime Factorization
3 | 903, 716, 849, 327, 337 |
301, 716, 283, 109, 337 |
Multiply the prime numbers at the bottom and the left side.
3 x 301 x 716 x 283 x 109 x 337 = 6721150294572
Therefore, the lowest common multiple of 903,716,849,327,337 is 6721150294572.
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.
903 x 716 x 849 x 327 x 337 = 60490352651148
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
716 : 1, 2, 4, 179, 358, 716
849 : 1, 3, 283, 849
327 : 1, 3, 109, 327
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,716,849,327,337, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
716:2x 2x 179
849:3x 283
327:3x 109
337:337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 60490352651148/(1x9)
LCM = 60490352651148/9
LCM = 6721150294572
Thus, we can understand that the LCM of 903,716,849,327,337 is 6721150294572.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 903, 716, 849, 327, 337?
Answer: LCM of 903, 716, 849, 327, 337 is 6721150294572.
2. How to calculate the LCM of 903, 716, 849, 327, 337?
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 903, 716, 849, 327, 337.
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}.