LCM of 874, 394, 675, 950, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 394, 675, 950, 678 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 874, 394, 675, 950, 678. So, keep reading to learn more.
Given numbers are 874,394,675,950,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,394,675,950,678 is 13132876950.
Find LCM of 874,394,675,950,678 with Prime Factorization
| 2 | 874, 394, 675, 950, 678 |
| 3 | 437, 197, 675, 475, 339 |
| 5 | 437, 197, 225, 475, 113 |
| 5 | 437, 197, 45, 95, 113 |
| 19 | 437, 197, 9, 19, 113 |
| 23, 197, 9, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 19 x 23 x 197 x 9 x 1 x 113 = 13132876950
Therefore, the lowest common multiple of 874,394,675,950,678 is 13132876950.
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.
874 x 394 x 675 x 950 x 678 = 149714797230000
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
394 : 1, 2, 197, 394
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,394,675,950,678, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
394:2x 197
675:3x 3x 3x 5x 5
950:2x 5x 5x 19
678:2x 3x 113
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 5x 5x 19 = 11400
Therefore, the value for common factors is 11400.
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 = 149714797230000/(1x11400)
LCM = 149714797230000/11400
LCM = 13132876950
Thus, we can understand that the LCM of 874,394,675,950,678 is 13132876950.
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FAQs on LCM of 874, 394, 675, 950, 678
1. What is the LCM of 874, 394, 675, 950, 678?
Answer: LCM of 874, 394, 675, 950, 678 is 13132876950.
2. How to calculate the LCM of 874, 394, 675, 950, 678?
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 874, 394, 675, 950, 678.
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}.