LCM of 855, 748, 715, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 748, 715, 692 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 855, 748, 715, 692. So, keep reading to learn more.
Given numbers are 855,748,715,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,748,715,692 is 1438325460.
Find LCM of 855,748,715,692 with Prime Factorization
| 2 | 855, 748, 715, 692 |
| 2 | 855, 374, 715, 346 |
| 5 | 855, 187, 715, 173 |
| 11 | 171, 187, 143, 173 |
| 171, 17, 13, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 171 x 17 x 13 x 173 = 1438325460
Therefore, the lowest common multiple of 855,748,715,692 is 1438325460.
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.
855 x 748 x 715 x 692 = 316431601200
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
715 : 1, 5, 11, 13, 55, 65, 143, 715
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,748,715,692, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
748:2x 2x 11x 17
715:5x 11x 13
692:2x 2x 173
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 316431601200/(1x220)
LCM = 316431601200/220
LCM = 1438325460
Thus, we can understand that the LCM of 855,748,715,692 is 1438325460.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 855, 748, 715, 692
1. What is the LCM of 855, 748, 715, 692?
Answer: LCM of 855, 748, 715, 692 is 1438325460.
2. How to calculate the LCM of 855, 748, 715, 692?
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 855, 748, 715, 692.
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}.