Find the LCM of 358, 658, 706, 309, 103 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 358, 658, 706, 309, 103. So, keep reading to learn more.
Given numbers are 358,658,706,309,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,658,706,309,103 is 12847307214.
Find LCM of 358,658,706,309,103 with Prime Factorization
2 | 358, 658, 706, 309, 103 |
103 | 179, 329, 353, 309, 103 |
179, 329, 353, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 179 x 329 x 353 x 3 x 1 = 12847307214
Therefore, the lowest common multiple of 358,658,706,309,103 is 12847307214.
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.
358 x 658 x 706 x 309 x 103 = 5293090572168
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.
358 : 1, 2, 179, 358
658 : 1, 2, 7, 14, 47, 94, 329, 658
706 : 1, 2, 353, 706
309 : 1, 3, 103, 309
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,658,706,309,103, is 1.
Now, the common factors can be found like this.
358:2x 179
658:2x 7x 47
706:2x 353
309:3x 103
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 103 = 412
Therefore, the value for common factors is 412.
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 = 5293090572168/(1x412)
LCM = 5293090572168/412
LCM = 12847307214
Thus, we can understand that the LCM of 358,658,706,309,103 is 12847307214.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 658, 706, 309, 103?
Answer: LCM of 358, 658, 706, 309, 103 is 12847307214.
2. How to calculate the LCM of 358, 658, 706, 309, 103?
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 358, 658, 706, 309, 103.
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}.