Find the LCM of 692, 845, 695, 172, 780 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 692, 845, 695, 172, 780. So, keep reading to learn more.
Given numbers are 692,845,695,172,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,845,695,172,780 is 10484972940.
Find LCM of 692,845,695,172,780 with Prime Factorization
2 | 692, 845, 695, 172, 780 |
2 | 346, 845, 695, 86, 390 |
5 | 173, 845, 695, 43, 195 |
13 | 173, 169, 139, 43, 39 |
173, 13, 139, 43, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 173 x 13 x 139 x 43 x 3 = 10484972940
Therefore, the lowest common multiple of 692,845,695,172,780 is 10484972940.
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.
692 x 845 x 695 x 172 x 780 = 54521859288000
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.
692 : 1, 2, 4, 173, 346, 692
845 : 1, 5, 13, 65, 169, 845
695 : 1, 5, 139, 695
172 : 1, 2, 4, 43, 86, 172
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,845,695,172,780, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
845:5x 13x 13
695:5x 139
172:2x 2x 43
780:2x 2x 3x 5x 13
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 2x 5x 5x 13 = 5200
Therefore, the value for common factors is 5200.
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 = 54521859288000/(1x5200)
LCM = 54521859288000/5200
LCM = 10484972940
Thus, we can understand that the LCM of 692,845,695,172,780 is 10484972940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 692, 845, 695, 172, 780?
Answer: LCM of 692, 845, 695, 172, 780 is 10484972940.
2. How to calculate the LCM of 692, 845, 695, 172, 780?
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 692, 845, 695, 172, 780.
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}.