LCM of 707, 160, 544, 748, 215
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 160, 544, 748, 215 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 707, 160, 544, 748, 215. So, keep reading to learn more.
Given numbers are 707,160,544,748,215
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,160,544,748,215 is 909597920.
Find LCM of 707,160,544,748,215 with Prime Factorization
| 2 | 707, 160, 544, 748, 215 |
| 2 | 707, 80, 272, 374, 215 |
| 2 | 707, 40, 136, 187, 215 |
| 2 | 707, 20, 68, 187, 215 |
| 2 | 707, 10, 34, 187, 215 |
| 5 | 707, 5, 17, 187, 215 |
| 17 | 707, 1, 17, 187, 43 |
| 707, 1, 1, 11, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 17 x 707 x 1 x 1 x 11 x 43 = 909597920
Therefore, the lowest common multiple of 707,160,544,748,215 is 909597920.
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.
707 x 160 x 544 x 748 x 215 = 9896425369600
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.
707 : 1, 7, 101, 707
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
215 : 1, 5, 43, 215
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,160,544,748,215, is 1.
Now, the common factors can be found like this.
707:7x 101
160:2x 2x 2x 2x 2x 5
544:2x 2x 2x 2x 2x 17
748:2x 2x 11x 17
215:5x 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 2x 2x 2x 2x 2x 2x 5x 17 = 10880
Therefore, the value for common factors is 10880.
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 = 9896425369600/(1x10880)
LCM = 9896425369600/10880
LCM = 909597920
Thus, we can understand that the LCM of 707,160,544,748,215 is 909597920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 707, 160, 544, 748, 215
1. What is the LCM of 707, 160, 544, 748, 215?
Answer: LCM of 707, 160, 544, 748, 215 is 909597920.
2. How to calculate the LCM of 707, 160, 544, 748, 215?
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 707, 160, 544, 748, 215.
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}.