LCM of 118, 412, 202, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 412, 202, 707 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 118, 412, 202, 707. So, keep reading to learn more.
Given numbers are 118,412,202,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,412,202,707 is 17185756.
Find LCM of 118,412,202,707 with Prime Factorization
| 2 | 118, 412, 202, 707 |
| 101 | 59, 206, 101, 707 |
| 59, 206, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 101 x 59 x 206 x 1 x 7 = 17185756
Therefore, the lowest common multiple of 118,412,202,707 is 17185756.
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.
118 x 412 x 202 x 707 = 6943045424
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.
118 : 1, 2, 59, 118
412 : 1, 2, 4, 103, 206, 412
202 : 1, 2, 101, 202
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,412,202,707, is 1.
Now, the common factors can be found like this.
118:2x 59
412:2x 2x 103
202:2x 101
707:7x 101
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 101 = 404
Therefore, the value for common factors is 404.
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 = 6943045424/(1x404)
LCM = 6943045424/404
LCM = 17185756
Thus, we can understand that the LCM of 118,412,202,707 is 17185756.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 118, 412, 202, 707
1. What is the LCM of 118, 412, 202, 707?
Answer: LCM of 118, 412, 202, 707 is 17185756.
2. How to calculate the LCM of 118, 412, 202, 707?
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 118, 412, 202, 707.
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}.