Find the LCM of 707, 105, 527, 404, 833 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, 105, 527, 404, 833. So, keep reading to learn more.
Given numbers are 707,105,527,404,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,105,527,404,833 is 156487380.
Find LCM of 707,105,527,404,833 with Prime Factorization
7 | 707, 105, 527, 404, 833 |
17 | 101, 15, 527, 404, 119 |
101 | 101, 15, 31, 404, 7 |
1, 15, 31, 4, 7 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 101 x 1 x 15 x 31 x 4 x 7 = 156487380
Therefore, the lowest common multiple of 707,105,527,404,833 is 156487380.
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 105 x 527 x 404 x 833 = 13165752741540
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
527 : 1, 17, 31, 527
404 : 1, 2, 4, 101, 202, 404
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,105,527,404,833, is 1.
Now, the common factors can be found like this.
707:7x 101
105:3x 5x 7
527:17x 31
404:2x 2x 101
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 17x 101 = 84133
Therefore, the value for common factors is 84133.
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 = 13165752741540/(1x84133)
LCM = 13165752741540/84133
LCM = 156487380
Thus, we can understand that the LCM of 707,105,527,404,833 is 156487380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 105, 527, 404, 833?
Answer: LCM of 707, 105, 527, 404, 833 is 156487380.
2. How to calculate the LCM of 707, 105, 527, 404, 833?
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, 105, 527, 404, 833.
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}.