Find the LCM of 117, 785, 167, 703, 310 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 117, 785, 167, 703, 310. So, keep reading to learn more.
Given numbers are 117,785,167,703,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,785,167,703,310 is 668527080390.
Find LCM of 117,785,167,703,310 with Prime Factorization
5 | 117, 785, 167, 703, 310 |
117, 157, 167, 703, 62 |
Multiply the prime numbers at the bottom and the left side.
5 x 117 x 157 x 167 x 703 x 62 = 668527080390
Therefore, the lowest common multiple of 117,785,167,703,310 is 668527080390.
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.
117 x 785 x 167 x 703 x 310 = 3342635401950
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.
117 : 1, 3, 9, 13, 39, 117
785 : 1, 5, 157, 785
167 : 1, 167
703 : 1, 19, 37, 703
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,785,167,703,310, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
785:5x 157
167:167
703:19x 37
310:2x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 3342635401950/(1x5)
LCM = 3342635401950/5
LCM = 668527080390
Thus, we can understand that the LCM of 117,785,167,703,310 is 668527080390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 117, 785, 167, 703, 310?
Answer: LCM of 117, 785, 167, 703, 310 is 668527080390.
2. How to calculate the LCM of 117, 785, 167, 703, 310?
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 117, 785, 167, 703, 310.
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}.