LCM of 517, 578, 785, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 578, 785, 440 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 517, 578, 785, 440. So, keep reading to learn more.
Given numbers are 517,578,785,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,578,785,440 is 938313640.
Find LCM of 517,578,785,440 with Prime Factorization
| 2 | 517, 578, 785, 440 |
| 5 | 517, 289, 785, 220 |
| 11 | 517, 289, 157, 44 |
| 47, 289, 157, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 47 x 289 x 157 x 4 = 938313640
Therefore, the lowest common multiple of 517,578,785,440 is 938313640.
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.
517 x 578 x 785 x 440 = 103214500400
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.
517 : 1, 11, 47, 517
578 : 1, 2, 17, 34, 289, 578
785 : 1, 5, 157, 785
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,578,785,440, is 1.
Now, the common factors can be found like this.
517:11x 47
578:2x 17x 17
785:5x 157
440:2x 2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 103214500400/(1x110)
LCM = 103214500400/110
LCM = 938313640
Thus, we can understand that the LCM of 517,578,785,440 is 938313640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 517, 578, 785, 440
1. What is the LCM of 517, 578, 785, 440?
Answer: LCM of 517, 578, 785, 440 is 938313640.
2. How to calculate the LCM of 517, 578, 785, 440?
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 517, 578, 785, 440.
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}.