LCM of 390, 734, 962, 500, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 734, 962, 500, 794 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 390, 734, 962, 500, 794. So, keep reading to learn more.
Given numbers are 390,734,962,500,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,734,962,500,794 is 105121828500.
Find LCM of 390,734,962,500,794 with Prime Factorization
| 2 | 390, 734, 962, 500, 794 |
| 5 | 195, 367, 481, 250, 397 |
| 13 | 39, 367, 481, 50, 397 |
| 3, 367, 37, 50, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 3 x 367 x 37 x 50 x 397 = 105121828500
Therefore, the lowest common multiple of 390,734,962,500,794 is 105121828500.
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.
390 x 734 x 962 x 500 x 794 = 109326701640000
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
734 : 1, 2, 367, 734
962 : 1, 2, 13, 26, 37, 74, 481, 962
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
794 : 1, 2, 397, 794
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,734,962,500,794, is 2.
Now, the common factors can be found like this.
390:2x 3x 5x 13
734:2x 367
962:2x 13x 37
500:2x 2x 5x 5x 5
794:2x 397
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 13 = 520
Therefore, the value for common factors is 520.
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 = 109326701640000/(2x520)
LCM = 109326701640000/1040
LCM = 105121828500
Thus, we can understand that the LCM of 390,734,962,500,794 is 105121828500.
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FAQs on LCM of 390, 734, 962, 500, 794
1. What is the LCM of 390, 734, 962, 500, 794?
Answer: LCM of 390, 734, 962, 500, 794 is 105121828500.
2. How to calculate the LCM of 390, 734, 962, 500, 794?
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 390, 734, 962, 500, 794.
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}.