Find the LCM of 139, 623, 838, 242, 715 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 139, 623, 838, 242, 715. So, keep reading to learn more.
Given numbers are 139,623,838,242,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,623,838,242,715 is 570749569390.
Find LCM of 139,623,838,242,715 with Prime Factorization
2 | 139, 623, 838, 242, 715 |
11 | 139, 623, 419, 121, 715 |
139, 623, 419, 11, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 139 x 623 x 419 x 11 x 65 = 570749569390
Therefore, the lowest common multiple of 139,623,838,242,715 is 570749569390.
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.
139 x 623 x 838 x 242 x 715 = 12556490526580
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.
139 : 1, 139
623 : 1, 7, 89, 623
838 : 1, 2, 419, 838
242 : 1, 2, 11, 22, 121, 242
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,623,838,242,715, is 1.
Now, the common factors can be found like this.
139:139
623:7x 89
838:2x 419
242:2x 11x 11
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 12556490526580/(1x22)
LCM = 12556490526580/22
LCM = 570749569390
Thus, we can understand that the LCM of 139,623,838,242,715 is 570749569390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 139, 623, 838, 242, 715?
Answer: LCM of 139, 623, 838, 242, 715 is 570749569390.
2. How to calculate the LCM of 139, 623, 838, 242, 715?
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 139, 623, 838, 242, 715.
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}.