LCM of 704, 348, 302, 276, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 348, 302, 276, 774 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, 348, 302, 276, 774. So, keep reading to learn more.
Given numbers are 704,348,302,276,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,348,302,276,774 is 27440145216.
Find LCM of 704,348,302,276,774 with Prime Factorization
| 2 | 704, 348, 302, 276, 774 |
| 2 | 352, 174, 151, 138, 387 |
| 3 | 176, 87, 151, 69, 387 |
| 176, 29, 151, 23, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 176 x 29 x 151 x 23 x 129 = 27440145216
Therefore, the lowest common multiple of 704,348,302,276,774 is 27440145216.
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 348 x 302 x 276 x 774 = 15805523644416
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
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
302 : 1, 2, 151, 302
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,348,302,276,774, is 2.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
348:2x 2x 3x 29
302:2x 151
276:2x 2x 3x 23
774:2x 3x 3x 43
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 15805523644416/(2x288)
LCM = 15805523644416/576
LCM = 27440145216
Thus, we can understand that the LCM of 704,348,302,276,774 is 27440145216.
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FAQs on LCM of 704, 348, 302, 276, 774
1. What is the LCM of 704, 348, 302, 276, 774?
Answer: LCM of 704, 348, 302, 276, 774 is 27440145216.
2. How to calculate the LCM of 704, 348, 302, 276, 774?
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, 348, 302, 276, 774.
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}.