LCM of 913, 415, 314, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 415, 314, 754 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 913, 415, 314, 754. So, keep reading to learn more.
Given numbers are 913,415,314,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,415,314,754 is 540395570.
Find LCM of 913,415,314,754 with Prime Factorization
| 2 | 913, 415, 314, 754 |
| 83 | 913, 415, 157, 377 |
| 11, 5, 157, 377 |
Multiply the prime numbers at the bottom and the left side.
2 x 83 x 11 x 5 x 157 x 377 = 540395570
Therefore, the lowest common multiple of 913,415,314,754 is 540395570.
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.
913 x 415 x 314 x 754 = 89705664620
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.
913 : 1, 11, 83, 913
415 : 1, 5, 83, 415
314 : 1, 2, 157, 314
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,415,314,754, is 1.
Now, the common factors can be found like this.
913:11x 83
415:5x 83
314:2x 157
754:2x 13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 83 = 166
Therefore, the value for common factors is 166.
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 = 89705664620/(1x166)
LCM = 89705664620/166
LCM = 540395570
Thus, we can understand that the LCM of 913,415,314,754 is 540395570.
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FAQs on LCM of 913, 415, 314, 754
1. What is the LCM of 913, 415, 314, 754?
Answer: LCM of 913, 415, 314, 754 is 540395570.
2. How to calculate the LCM of 913, 415, 314, 754?
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 913, 415, 314, 754.
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}.