LCM of 452, 387, 502, 414, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 387, 502, 414, 874 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 452, 387, 502, 414, 874. So, keep reading to learn more.
Given numbers are 452,387,502,414,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,387,502,414,874 is 19186888788.
Find LCM of 452,387,502,414,874 with Prime Factorization
| 2 | 452, 387, 502, 414, 874 |
| 3 | 226, 387, 251, 207, 437 |
| 3 | 226, 129, 251, 69, 437 |
| 23 | 226, 43, 251, 23, 437 |
| 226, 43, 251, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 226 x 43 x 251 x 1 x 19 = 19186888788
Therefore, the lowest common multiple of 452,387,502,414,874 is 19186888788.
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.
452 x 387 x 502 x 414 x 874 = 31773487832928
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.
452 : 1, 2, 4, 113, 226, 452
387 : 1, 3, 9, 43, 129, 387
502 : 1, 2, 251, 502
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,387,502,414,874, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
387:3x 3x 43
502:2x 251
414:2x 3x 3x 23
874:2x 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 2x 3x 3x 23 = 1656
Therefore, the value for common factors is 1656.
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 = 31773487832928/(1x1656)
LCM = 31773487832928/1656
LCM = 19186888788
Thus, we can understand that the LCM of 452,387,502,414,874 is 19186888788.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 452, 387, 502, 414, 874
1. What is the LCM of 452, 387, 502, 414, 874?
Answer: LCM of 452, 387, 502, 414, 874 is 19186888788.
2. How to calculate the LCM of 452, 387, 502, 414, 874?
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 452, 387, 502, 414, 874.
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}.