LCM of 704, 398, 360, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 398, 360, 514 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, 398, 360, 514. So, keep reading to learn more.
Given numbers are 704,398,360,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,398,360,514 is 1620210240.
Find LCM of 704,398,360,514 with Prime Factorization
| 2 | 704, 398, 360, 514 |
| 2 | 352, 199, 180, 257 |
| 2 | 176, 199, 90, 257 |
| 88, 199, 45, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 88 x 199 x 45 x 257 = 1620210240
Therefore, the lowest common multiple of 704,398,360,514 is 1620210240.
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 398 x 360 x 514 = 51846727680
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
398 : 1, 2, 199, 398
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
514 : 1, 2, 257, 514
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,398,360,514, is 2.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
398:2x 199
360:2x 2x 2x 3x 3x 5
514:2x 257
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 2 = 16
Therefore, the value for common factors is 16.
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 = 51846727680/(2x16)
LCM = 51846727680/32
LCM = 1620210240
Thus, we can understand that the LCM of 704,398,360,514 is 1620210240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 704, 398, 360, 514
1. What is the LCM of 704, 398, 360, 514?
Answer: LCM of 704, 398, 360, 514 is 1620210240.
2. How to calculate the LCM of 704, 398, 360, 514?
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, 398, 360, 514.
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}.