LCM of 138, 451, 533, 462, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 451, 533, 462, 614 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, 451, 533, 462, 614. So, keep reading to learn more.
Given numbers are 138,451,533,462,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,451,533,462,614 is 1738743006.
Find LCM of 138,451,533,462,614 with Prime Factorization
| 2 | 138, 451, 533, 462, 614 |
| 3 | 69, 451, 533, 231, 307 |
| 11 | 23, 451, 533, 77, 307 |
| 41 | 23, 41, 533, 7, 307 |
| 23, 1, 13, 7, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 41 x 23 x 1 x 13 x 7 x 307 = 1738743006
Therefore, the lowest common multiple of 138,451,533,462,614 is 1738743006.
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 451 x 533 x 462 x 614 = 9410077148472
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
451 : 1, 11, 41, 451
533 : 1, 13, 41, 533
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,451,533,462,614, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
451:11x 41
533:13x 41
462:2x 3x 7x 11
614:2x 307
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 11x 41 = 5412
Therefore, the value for common factors is 5412.
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 = 9410077148472/(1x5412)
LCM = 9410077148472/5412
LCM = 1738743006
Thus, we can understand that the LCM of 138,451,533,462,614 is 1738743006.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 138, 451, 533, 462, 614
1. What is the LCM of 138, 451, 533, 462, 614?
Answer: LCM of 138, 451, 533, 462, 614 is 1738743006.
2. How to calculate the LCM of 138, 451, 533, 462, 614?
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, 451, 533, 462, 614.
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}.