LCM of 548, 944, 964, 156, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 944, 964, 156, 682 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 548, 944, 964, 156, 682. So, keep reading to learn more.
Given numbers are 548,944,964,156,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,944,964,156,682 is 414503870352.
Find LCM of 548,944,964,156,682 with Prime Factorization
| 2 | 548, 944, 964, 156, 682 |
| 2 | 274, 472, 482, 78, 341 |
| 137, 236, 241, 39, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 236 x 241 x 39 x 341 = 414503870352
Therefore, the lowest common multiple of 548,944,964,156,682 is 414503870352.
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.
548 x 944 x 964 x 156 x 682 = 53056495405056
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.
548 : 1, 2, 4, 137, 274, 548
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
964 : 1, 2, 4, 241, 482, 964
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
682 : 1, 2, 11, 22, 31, 62, 341, 682
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,944,964,156,682, is 2.
Now, the common factors can be found like this.
548:2x 2x 137
944:2x 2x 2x 2x 59
964:2x 2x 241
156:2x 2x 3x 13
682:2x 11x 31
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 2 = 64
Therefore, the value for common factors is 64.
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 = 53056495405056/(2x64)
LCM = 53056495405056/128
LCM = 414503870352
Thus, we can understand that the LCM of 548,944,964,156,682 is 414503870352.
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FAQs on LCM of 548, 944, 964, 156, 682
1. What is the LCM of 548, 944, 964, 156, 682?
Answer: LCM of 548, 944, 964, 156, 682 is 414503870352.
2. How to calculate the LCM of 548, 944, 964, 156, 682?
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 548, 944, 964, 156, 682.
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}.