Find the LCM of 707, 469, 203, 807, 538 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, 469, 203, 807, 538. So, keep reading to learn more.
Given numbers are 707,469,203,807,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,469,203,807,538 is 2217153414.
Find LCM of 707,469,203,807,538 with Prime Factorization
7 | 707, 469, 203, 807, 538 |
269 | 101, 67, 29, 807, 538 |
101, 67, 29, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
7 x 269 x 101 x 67 x 29 x 3 x 2 = 2217153414
Therefore, the lowest common multiple of 707,469,203,807,538 is 2217153414.
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 469 x 203 x 807 x 538 = 29224299149934
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
469 : 1, 7, 67, 469
203 : 1, 7, 29, 203
807 : 1, 3, 269, 807
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,469,203,807,538, is 1.
Now, the common factors can be found like this.
707:7x 101
469:7x 67
203:7x 29
807:3x 269
538:2x 269
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 269 = 13181
Therefore, the value for common factors is 13181.
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 = 29224299149934/(1x13181)
LCM = 29224299149934/13181
LCM = 2217153414
Thus, we can understand that the LCM of 707,469,203,807,538 is 2217153414.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 469, 203, 807, 538?
Answer: LCM of 707, 469, 203, 807, 538 is 2217153414.
2. How to calculate the LCM of 707, 469, 203, 807, 538?
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, 469, 203, 807, 538.
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}.