LCM of 964, 724, 794, 608, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 724, 794, 608, 556 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 964, 724, 794, 608, 556. So, keep reading to learn more.
Given numbers are 964,724,794,608,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,724,794,608,556 is 1463539686944.
Find LCM of 964,724,794,608,556 with Prime Factorization
| 2 | 964, 724, 794, 608, 556 |
| 2 | 482, 362, 397, 304, 278 |
| 241, 181, 397, 152, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 241 x 181 x 397 x 152 x 139 = 1463539686944
Therefore, the lowest common multiple of 964,724,794,608,556 is 1463539686944.
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.
964 x 724 x 794 x 608 x 556 = 187333079928832
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.
964 : 1, 2, 4, 241, 482, 964
724 : 1, 2, 4, 181, 362, 724
794 : 1, 2, 397, 794
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
556 : 1, 2, 4, 139, 278, 556
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,724,794,608,556, is 2.
Now, the common factors can be found like this.
964:2x 2x 241
724:2x 2x 181
794:2x 397
608:2x 2x 2x 2x 2x 19
556:2x 2x 139
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 = 187333079928832/(2x64)
LCM = 187333079928832/128
LCM = 1463539686944
Thus, we can understand that the LCM of 964,724,794,608,556 is 1463539686944.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 724, 794, 608, 556
1. What is the LCM of 964, 724, 794, 608, 556?
Answer: LCM of 964, 724, 794, 608, 556 is 1463539686944.
2. How to calculate the LCM of 964, 724, 794, 608, 556?
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 964, 724, 794, 608, 556.
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}.