LCM of 394, 314, 968, 400, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 314, 968, 400, 506 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 394, 314, 968, 400, 506. So, keep reading to learn more.
Given numbers are 394,314,968,400,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,314,968,400,506 is 34430162800.
Find LCM of 394,314,968,400,506 with Prime Factorization
| 2 | 394, 314, 968, 400, 506 |
| 2 | 197, 157, 484, 200, 253 |
| 2 | 197, 157, 242, 100, 253 |
| 11 | 197, 157, 121, 50, 253 |
| 197, 157, 11, 50, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 197 x 157 x 11 x 50 x 23 = 34430162800
Therefore, the lowest common multiple of 394,314,968,400,506 is 34430162800.
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.
394 x 314 x 968 x 400 x 506 = 24238834611200
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.
394 : 1, 2, 197, 394
314 : 1, 2, 157, 314
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
506 : 1, 2, 11, 22, 23, 46, 253, 506
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,314,968,400,506, is 2.
Now, the common factors can be found like this.
394:2x 197
314:2x 157
968:2x 2x 2x 11x 11
400:2x 2x 2x 2x 5x 5
506:2x 11x 23
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 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 24238834611200/(2x352)
LCM = 24238834611200/704
LCM = 34430162800
Thus, we can understand that the LCM of 394,314,968,400,506 is 34430162800.
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FAQs on LCM of 394, 314, 968, 400, 506
1. What is the LCM of 394, 314, 968, 400, 506?
Answer: LCM of 394, 314, 968, 400, 506 is 34430162800.
2. How to calculate the LCM of 394, 314, 968, 400, 506?
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 394, 314, 968, 400, 506.
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}.