Find the LCM of 339, 551, 418, 707, 931 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 339, 551, 418, 707, 931. So, keep reading to learn more.
Given numbers are 339,551,418,707,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,551,418,707,931 is 20337212742.
Find LCM of 339,551,418,707,931 with Prime Factorization
7 | 339, 551, 418, 707, 931 |
19 | 339, 551, 418, 101, 133 |
339, 29, 22, 101, 7 |
Multiply the prime numbers at the bottom and the left side.
7 x 19 x 339 x 29 x 22 x 101 x 7 = 20337212742
Therefore, the lowest common multiple of 339,551,418,707,931 is 20337212742.
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.
339 x 551 x 418 x 707 x 931 = 51392136599034
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.
339 : 1, 3, 113, 339
551 : 1, 19, 29, 551
418 : 1, 2, 11, 19, 22, 38, 209, 418
707 : 1, 7, 101, 707
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,551,418,707,931, is 1.
Now, the common factors can be found like this.
339:3x 113
551:19x 29
418:2x 11x 19
707:7x 101
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 19x 19 = 2527
Therefore, the value for common factors is 2527.
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 = 51392136599034/(1x2527)
LCM = 51392136599034/2527
LCM = 20337212742
Thus, we can understand that the LCM of 339,551,418,707,931 is 20337212742.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 551, 418, 707, 931?
Answer: LCM of 339, 551, 418, 707, 931 is 20337212742.
2. How to calculate the LCM of 339, 551, 418, 707, 931?
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 339, 551, 418, 707, 931.
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}.