Find the LCM of 649, 835, 715, 113, 237 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 649, 835, 715, 113, 237. So, keep reading to learn more.
Given numbers are 649,835,715,113,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,835,715,113,237 is 188669332995.
Find LCM of 649,835,715,113,237 with Prime Factorization
5 | 649, 835, 715, 113, 237 |
11 | 649, 167, 143, 113, 237 |
59, 167, 13, 113, 237 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 59 x 167 x 13 x 113 x 237 = 188669332995
Therefore, the lowest common multiple of 649,835,715,113,237 is 188669332995.
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.
649 x 835 x 715 x 113 x 237 = 10376813314725
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.
649 : 1, 11, 59, 649
835 : 1, 5, 167, 835
715 : 1, 5, 11, 13, 55, 65, 143, 715
113 : 1, 113
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,835,715,113,237, is 1.
Now, the common factors can be found like this.
649:11x 59
835:5x 167
715:5x 11x 13
113:113
237:3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 10376813314725/(1x55)
LCM = 10376813314725/55
LCM = 188669332995
Thus, we can understand that the LCM of 649,835,715,113,237 is 188669332995.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 835, 715, 113, 237?
Answer: LCM of 649, 835, 715, 113, 237 is 188669332995.
2. How to calculate the LCM of 649, 835, 715, 113, 237?
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 649, 835, 715, 113, 237.
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}.