LCM of 704, 414, 550, 506, 818
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 414, 550, 506, 818 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, 414, 550, 506, 818. So, keep reading to learn more.
Given numbers are 704,414,550,506,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,414,550,506,818 is 1490068800.
Find LCM of 704,414,550,506,818 with Prime Factorization
| 2 | 704, 414, 550, 506, 818 |
| 11 | 352, 207, 275, 253, 409 |
| 23 | 32, 207, 25, 23, 409 |
| 32, 9, 25, 1, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 32 x 9 x 25 x 1 x 409 = 1490068800
Therefore, the lowest common multiple of 704,414,550,506,818 is 1490068800.
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 414 x 550 x 506 x 818 = 66349783526400
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
506 : 1, 2, 11, 22, 23, 46, 253, 506
818 : 1, 2, 409, 818
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,414,550,506,818, is 2.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
414:2x 3x 3x 23
550:2x 5x 5x 11
506:2x 11x 23
818:2x 409
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 11x 11x 23 = 22264
Therefore, the value for common factors is 22264.
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 = 66349783526400/(2x22264)
LCM = 66349783526400/44528
LCM = 1490068800
Thus, we can understand that the LCM of 704,414,550,506,818 is 1490068800.
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FAQs on LCM of 704, 414, 550, 506, 818
1. What is the LCM of 704, 414, 550, 506, 818?
Answer: LCM of 704, 414, 550, 506, 818 is 1490068800.
2. How to calculate the LCM of 704, 414, 550, 506, 818?
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, 414, 550, 506, 818.
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}.