LCM of 494, 381, 420, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 381, 420, 704 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 494, 381, 420, 704. So, keep reading to learn more.
Given numbers are 494,381,420,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,381,420,704 is 2318796480.
Find LCM of 494,381,420,704 with Prime Factorization
| 2 | 494, 381, 420, 704 |
| 2 | 247, 381, 210, 352 |
| 3 | 247, 381, 105, 176 |
| 247, 127, 35, 176 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 247 x 127 x 35 x 176 = 2318796480
Therefore, the lowest common multiple of 494,381,420,704 is 2318796480.
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.
494 x 381 x 420 x 704 = 55651115520
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
381 : 1, 3, 127, 381
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,381,420,704, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
381:3x 127
420:2x 2x 3x 5x 7
704:2x 2x 2x 2x 2x 2x 11
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 3 = 24
Therefore, the value for common factors is 24.
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 = 55651115520/(1x24)
LCM = 55651115520/24
LCM = 2318796480
Thus, we can understand that the LCM of 494,381,420,704 is 2318796480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 494, 381, 420, 704
1. What is the LCM of 494, 381, 420, 704?
Answer: LCM of 494, 381, 420, 704 is 2318796480.
2. How to calculate the LCM of 494, 381, 420, 704?
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 494, 381, 420, 704.
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}.