LCM of 314, 716, 566, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 716, 566, 896 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 314, 716, 566, 896. So, keep reading to learn more.
Given numbers are 314,716,566,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,716,566,896 is 7126021504.
Find LCM of 314,716,566,896 with Prime Factorization
| 2 | 314, 716, 566, 896 |
| 2 | 157, 358, 283, 448 |
| 157, 179, 283, 224 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 157 x 179 x 283 x 224 = 7126021504
Therefore, the lowest common multiple of 314,716,566,896 is 7126021504.
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.
314 x 716 x 566 x 896 = 114016344064
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.
314 : 1, 2, 157, 314
716 : 1, 2, 4, 179, 358, 716
566 : 1, 2, 283, 566
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,716,566,896, is 2.
Now, the common factors can be found like this.
314:2x 157
716:2x 2x 179
566:2x 283
896:2x 2x 2x 2x 2x 2x 2x 7
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 2 = 8
Therefore, the value for common factors is 8.
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 = 114016344064/(2x8)
LCM = 114016344064/16
LCM = 7126021504
Thus, we can understand that the LCM of 314,716,566,896 is 7126021504.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 716, 566, 896
1. What is the LCM of 314, 716, 566, 896?
Answer: LCM of 314, 716, 566, 896 is 7126021504.
2. How to calculate the LCM of 314, 716, 566, 896?
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 314, 716, 566, 896.
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}.