Find the LCM of 138, 832, 646, 399, 437 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 138, 832, 646, 399, 437. So, keep reading to learn more.
Given numbers are 138,832,646,399,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,832,646,399,437 is 129799488.
Find LCM of 138,832,646,399,437 with Prime Factorization
2 | 138, 832, 646, 399, 437 |
3 | 69, 416, 323, 399, 437 |
19 | 23, 416, 323, 133, 437 |
23 | 23, 416, 17, 7, 23 |
1, 416, 17, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 23 x 1 x 416 x 17 x 7 x 1 = 129799488
Therefore, the lowest common multiple of 138,832,646,399,437 is 129799488.
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.
138 x 832 x 646 x 399 x 437 = 12932701786368
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
646 : 1, 2, 17, 19, 34, 38, 323, 646
399 : 1, 3, 7, 19, 21, 57, 133, 399
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,832,646,399,437, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
832:2x 2x 2x 2x 2x 2x 13
646:2x 17x 19
399:3x 7x 19
437:19x 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 2x 3x 19x 19x 23 = 99636
Therefore, the value for common factors is 99636.
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 = 12932701786368/(1x99636)
LCM = 12932701786368/99636
LCM = 129799488
Thus, we can understand that the LCM of 138,832,646,399,437 is 129799488.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 832, 646, 399, 437?
Answer: LCM of 138, 832, 646, 399, 437 is 129799488.
2. How to calculate the LCM of 138, 832, 646, 399, 437?
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 138, 832, 646, 399, 437.
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}.