Find the LCM of 101, 217, 314, 713, 602 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 101, 217, 314, 713, 602. So, keep reading to learn more.
Given numbers are 101,217,314,713,602
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,217,314,713,602 is 6806236682.
Find LCM of 101,217,314,713,602 with Prime Factorization
2 | 101, 217, 314, 713, 602 |
7 | 101, 217, 157, 713, 301 |
31 | 101, 31, 157, 713, 43 |
101, 1, 157, 23, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 101 x 1 x 157 x 23 x 43 = 6806236682
Therefore, the lowest common multiple of 101,217,314,713,602 is 6806236682.
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.
101 x 217 x 314 x 713 x 602 = 2953906719988
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.
101 : 1, 101
217 : 1, 7, 31, 217
314 : 1, 2, 157, 314
713 : 1, 23, 31, 713
602 : 1, 2, 7, 14, 43, 86, 301, 602
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,217,314,713,602, is 1.
Now, the common factors can be found like this.
101:101
217:7x 31
314:2x 157
713:23x 31
602:2x 7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 31 = 434
Therefore, the value for common factors is 434.
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 = 2953906719988/(1x434)
LCM = 2953906719988/434
LCM = 6806236682
Thus, we can understand that the LCM of 101,217,314,713,602 is 6806236682.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 217, 314, 713, 602?
Answer: LCM of 101, 217, 314, 713, 602 is 6806236682.
2. How to calculate the LCM of 101, 217, 314, 713, 602?
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 101, 217, 314, 713, 602.
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}.