Find the LCM of 156, 559, 423, 228, 123 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 156, 559, 423, 228, 123. So, keep reading to learn more.
Given numbers are 156,559,423,228,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,559,423,228,123 is 736800012.
Find LCM of 156,559,423,228,123 with Prime Factorization
2 | 156, 559, 423, 228, 123 |
2 | 78, 559, 423, 114, 123 |
3 | 39, 559, 423, 57, 123 |
13 | 13, 559, 141, 19, 41 |
1, 43, 141, 19, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 1 x 43 x 141 x 19 x 41 = 736800012
Therefore, the lowest common multiple of 156,559,423,228,123 is 736800012.
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.
156 x 559 x 423 x 228 x 123 = 1034467216848
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
559 : 1, 13, 43, 559
423 : 1, 3, 9, 47, 141, 423
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,559,423,228,123, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
559:13x 43
423:3x 3x 47
228:2x 2x 3x 19
123:3x 41
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 3x 3x 3x 13 = 1404
Therefore, the value for common factors is 1404.
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 = 1034467216848/(1x1404)
LCM = 1034467216848/1404
LCM = 736800012
Thus, we can understand that the LCM of 156,559,423,228,123 is 736800012.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 156, 559, 423, 228, 123?
Answer: LCM of 156, 559, 423, 228, 123 is 736800012.
2. How to calculate the LCM of 156, 559, 423, 228, 123?
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 156, 559, 423, 228, 123.
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}.