LCM of 707, 217, 775, 982, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 217, 775, 982, 711 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, 217, 775, 982, 711. So, keep reading to learn more.
Given numbers are 707,217,775,982,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,217,775,982,711 is 382562330850.
Find LCM of 707,217,775,982,711 with Prime Factorization
| 7 | 707, 217, 775, 982, 711 |
| 31 | 101, 31, 775, 982, 711 |
| 101, 1, 25, 982, 711 |
Multiply the prime numbers at the bottom and the left side.
7 x 31 x 101 x 1 x 25 x 982 x 711 = 382562330850
Therefore, the lowest common multiple of 707,217,775,982,711 is 382562330850.
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 217 x 775 x 982 x 711 = 83016025794450
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
217 : 1, 7, 31, 217
775 : 1, 5, 25, 31, 155, 775
982 : 1, 2, 491, 982
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,217,775,982,711, is 1.
Now, the common factors can be found like this.
707:7x 101
217:7x 31
775:5x 5x 31
982:2x 491
711:3x 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.
7x 31 = 217
Therefore, the value for common factors is 217.
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 = 83016025794450/(1x217)
LCM = 83016025794450/217
LCM = 382562330850
Thus, we can understand that the LCM of 707,217,775,982,711 is 382562330850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 707, 217, 775, 982, 711
1. What is the LCM of 707, 217, 775, 982, 711?
Answer: LCM of 707, 217, 775, 982, 711 is 382562330850.
2. How to calculate the LCM of 707, 217, 775, 982, 711?
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, 217, 775, 982, 711.
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}.