LCM of 494, 857, 506, 456, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 857, 506, 456, 284 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, 857, 506, 456, 284. So, keep reading to learn more.
Given numbers are 494,857,506,456,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,857,506,456,284 is 91257357048.
Find LCM of 494,857,506,456,284 with Prime Factorization
| 2 | 494, 857, 506, 456, 284 |
| 2 | 247, 857, 253, 228, 142 |
| 19 | 247, 857, 253, 114, 71 |
| 13, 857, 253, 6, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 13 x 857 x 253 x 6 x 71 = 91257357048
Therefore, the lowest common multiple of 494,857,506,456,284 is 91257357048.
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 857 x 506 x 456 x 284 = 27742236542592
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
857 : 1, 857
506 : 1, 2, 11, 22, 23, 46, 253, 506
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,857,506,456,284, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
857:857
506:2x 11x 23
456:2x 2x 2x 3x 19
284:2x 2x 71
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 19 = 304
Therefore, the value for common factors is 304.
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 = 27742236542592/(1x304)
LCM = 27742236542592/304
LCM = 91257357048
Thus, we can understand that the LCM of 494,857,506,456,284 is 91257357048.
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FAQs on LCM of 494, 857, 506, 456, 284
1. What is the LCM of 494, 857, 506, 456, 284?
Answer: LCM of 494, 857, 506, 456, 284 is 91257357048.
2. How to calculate the LCM of 494, 857, 506, 456, 284?
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, 857, 506, 456, 284.
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}.