LCM of 487, 968, 814, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 968, 814, 328 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 487, 968, 814, 328. So, keep reading to learn more.
Given numbers are 487,968,814,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,968,814,328 is 715138072.
Find LCM of 487,968,814,328 with Prime Factorization
| 2 | 487, 968, 814, 328 |
| 2 | 487, 484, 407, 164 |
| 2 | 487, 242, 407, 82 |
| 11 | 487, 121, 407, 41 |
| 487, 11, 37, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 487 x 11 x 37 x 41 = 715138072
Therefore, the lowest common multiple of 487,968,814,328 is 715138072.
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.
487 x 968 x 814 x 328 = 125864300672
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.
487 : 1, 487
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
814 : 1, 2, 11, 22, 37, 74, 407, 814
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,968,814,328, is 1.
Now, the common factors can be found like this.
487:487
968:2x 2x 2x 11x 11
814:2x 11x 37
328:2x 2x 2x 41
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 11 = 176
Therefore, the value for common factors is 176.
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 = 125864300672/(1x176)
LCM = 125864300672/176
LCM = 715138072
Thus, we can understand that the LCM of 487,968,814,328 is 715138072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 487, 968, 814, 328
1. What is the LCM of 487, 968, 814, 328?
Answer: LCM of 487, 968, 814, 328 is 715138072.
2. How to calculate the LCM of 487, 968, 814, 328?
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 487, 968, 814, 328.
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}.