Find the LCM of 105, 780, 238, 644, 727 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 105, 780, 238, 644, 727. So, keep reading to learn more.
Given numbers are 105,780,238,644,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,780,238,644,727 is 1552043220.
Find LCM of 105,780,238,644,727 with Prime Factorization
2 | 105, 780, 238, 644, 727 |
2 | 105, 390, 119, 322, 727 |
3 | 105, 195, 119, 161, 727 |
5 | 35, 65, 119, 161, 727 |
7 | 7, 13, 119, 161, 727 |
1, 13, 17, 23, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 13 x 17 x 23 x 727 = 1552043220
Therefore, the lowest common multiple of 105,780,238,644,727 is 1552043220.
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.
105 x 780 x 238 x 644 x 727 = 9126014133600
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
238 : 1, 2, 7, 14, 17, 34, 119, 238
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,780,238,644,727, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
780:2x 2x 3x 5x 13
238:2x 7x 17
644:2x 2x 7x 23
727:727
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 3x 5x 7x 7 = 5880
Therefore, the value for common factors is 5880.
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 = 9126014133600/(1x5880)
LCM = 9126014133600/5880
LCM = 1552043220
Thus, we can understand that the LCM of 105,780,238,644,727 is 1552043220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 780, 238, 644, 727?
Answer: LCM of 105, 780, 238, 644, 727 is 1552043220.
2. How to calculate the LCM of 105, 780, 238, 644, 727?
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 105, 780, 238, 644, 727.
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}.