Find the LCM of 208, 403, 209, 707 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 208, 403, 209, 707. So, keep reading to learn more.
Given numbers are 208,403,209,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,403,209,707 is 952775824.
Find LCM of 208,403,209,707 with Prime Factorization
13 | 208, 403, 209, 707 |
16, 31, 209, 707 |
Multiply the prime numbers at the bottom and the left side.
13 x 16 x 31 x 209 x 707 = 952775824
Therefore, the lowest common multiple of 208,403,209,707 is 952775824.
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.
208 x 403 x 209 x 707 = 12386085712
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
403 : 1, 13, 31, 403
209 : 1, 11, 19, 209
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,403,209,707, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
403:13x 31
209:11x 19
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 12386085712/(1x13)
LCM = 12386085712/13
LCM = 952775824
Thus, we can understand that the LCM of 208,403,209,707 is 952775824.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 208, 403, 209, 707?
Answer: LCM of 208, 403, 209, 707 is 952775824.
2. How to calculate the LCM of 208, 403, 209, 707?
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 208, 403, 209, 707.
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}.