Find the LCM of 138, 414, 223, 369, 533 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, 414, 223, 369, 533. So, keep reading to learn more.
Given numbers are 138,414,223,369,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,414,223,369,533 is 49207626.
Find LCM of 138,414,223,369,533 with Prime Factorization
2 | 138, 414, 223, 369, 533 |
3 | 69, 207, 223, 369, 533 |
3 | 23, 69, 223, 123, 533 |
23 | 23, 23, 223, 41, 533 |
41 | 1, 1, 223, 41, 533 |
1, 1, 223, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 41 x 1 x 1 x 223 x 1 x 13 = 49207626
Therefore, the lowest common multiple of 138,414,223,369,533 is 49207626.
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 414 x 223 x 369 x 533 = 2505750731172
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
223 : 1, 223
369 : 1, 3, 9, 41, 123, 369
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,414,223,369,533, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
414:2x 3x 3x 23
223:223
369:3x 3x 41
533:13x 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 3x 3x 3x 23x 41 = 50922
Therefore, the value for common factors is 50922.
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 = 2505750731172/(1x50922)
LCM = 2505750731172/50922
LCM = 49207626
Thus, we can understand that the LCM of 138,414,223,369,533 is 49207626.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 414, 223, 369, 533?
Answer: LCM of 138, 414, 223, 369, 533 is 49207626.
2. How to calculate the LCM of 138, 414, 223, 369, 533?
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, 414, 223, 369, 533.
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}.