LCM of 704, 538, 961, 248
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 538, 961, 248 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 704, 538, 961, 248. So, keep reading to learn more.
Given numbers are 704,538,961,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,538,961,248 is 181990336.
Find LCM of 704,538,961,248 with Prime Factorization
| 2 | 704, 538, 961, 248 |
| 2 | 352, 269, 961, 124 |
| 2 | 176, 269, 961, 62 |
| 31 | 88, 269, 961, 31 |
| 88, 269, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 31 x 88 x 269 x 1 x 31 = 181990336
Therefore, the lowest common multiple of 704,538,961,248 is 181990336.
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.
704 x 538 x 961 x 248 = 90267206656
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
538 : 1, 2, 269, 538
961 : 1, 31, 961
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,538,961,248, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
538:2x 269
961:31x 31
248:2x 2x 2x 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 31 = 496
Therefore, the value for common factors is 496.
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 = 90267206656/(1x496)
LCM = 90267206656/496
LCM = 181990336
Thus, we can understand that the LCM of 704,538,961,248 is 181990336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 704, 538, 961, 248
1. What is the LCM of 704, 538, 961, 248?
Answer: LCM of 704, 538, 961, 248 is 181990336.
2. How to calculate the LCM of 704, 538, 961, 248?
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 704, 538, 961, 248.
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}.