Find the LCM of 855, 862, 767, 538, 345 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 855, 862, 767, 538, 345. So, keep reading to learn more.
Given numbers are 855,862,767,538,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,862,767,538,345 is 3497428627290.
Find LCM of 855,862,767,538,345 with Prime Factorization
2 | 855, 862, 767, 538, 345 |
3 | 855, 431, 767, 269, 345 |
5 | 285, 431, 767, 269, 115 |
57, 431, 767, 269, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 57 x 431 x 767 x 269 x 23 = 3497428627290
Therefore, the lowest common multiple of 855,862,767,538,345 is 3497428627290.
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.
855 x 862 x 767 x 538 x 345 = 104922858818700
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
862 : 1, 2, 431, 862
767 : 1, 13, 59, 767
538 : 1, 2, 269, 538
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,862,767,538,345, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
862:2x 431
767:13x 59
538:2x 269
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 104922858818700/(1x30)
LCM = 104922858818700/30
LCM = 3497428627290
Thus, we can understand that the LCM of 855,862,767,538,345 is 3497428627290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 862, 767, 538, 345?
Answer: LCM of 855, 862, 767, 538, 345 is 3497428627290.
2. How to calculate the LCM of 855, 862, 767, 538, 345?
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 855, 862, 767, 538, 345.
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}.