LCM of 874, 518, 214, 415, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 518, 214, 415, 760 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, 518, 214, 415, 760. So, keep reading to learn more.
Given numbers are 874,518,214,415,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,518,214,415,760 is 40207128920.
Find LCM of 874,518,214,415,760 with Prime Factorization
| 2 | 874, 518, 214, 415, 760 |
| 5 | 437, 259, 107, 415, 380 |
| 19 | 437, 259, 107, 83, 76 |
| 23, 259, 107, 83, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 23 x 259 x 107 x 83 x 4 = 40207128920
Therefore, the lowest common multiple of 874,518,214,415,760 is 40207128920.
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 518 x 214 x 415 x 760 = 30557417979200
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
518 : 1, 2, 7, 14, 37, 74, 259, 518
214 : 1, 2, 107, 214
415 : 1, 5, 83, 415
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,518,214,415,760, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
518:2x 7x 37
214:2x 107
415:5x 83
760:2x 2x 2x 5x 19
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 5x 19 = 760
Therefore, the value for common factors is 760.
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 = 30557417979200/(1x760)
LCM = 30557417979200/760
LCM = 40207128920
Thus, we can understand that the LCM of 874,518,214,415,760 is 40207128920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 518, 214, 415, 760
1. What is the LCM of 874, 518, 214, 415, 760?
Answer: LCM of 874, 518, 214, 415, 760 is 40207128920.
2. How to calculate the LCM of 874, 518, 214, 415, 760?
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, 518, 214, 415, 760.
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}.