LCM of 282, 449, 969, 588, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 449, 969, 588, 456 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 282, 449, 969, 588, 456. So, keep reading to learn more.
Given numbers are 282,449,969,588,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,449,969,588,456 is 8015932344.
Find LCM of 282,449,969,588,456 with Prime Factorization
| 2 | 282, 449, 969, 588, 456 |
| 2 | 141, 449, 969, 294, 228 |
| 3 | 141, 449, 969, 147, 114 |
| 19 | 47, 449, 323, 49, 38 |
| 47, 449, 17, 49, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 47 x 449 x 17 x 49 x 2 = 8015932344
Therefore, the lowest common multiple of 282,449,969,588,456 is 8015932344.
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.
282 x 449 x 969 x 588 x 456 = 32897386339776
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
449 : 1, 449
969 : 1, 3, 17, 19, 51, 57, 323, 969
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,449,969,588,456, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
449:449
969:3x 17x 19
588:2x 2x 3x 7x 7
456:2x 2x 2x 3x 19
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 3x 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 32897386339776/(1x4104)
LCM = 32897386339776/4104
LCM = 8015932344
Thus, we can understand that the LCM of 282,449,969,588,456 is 8015932344.
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FAQs on LCM of 282, 449, 969, 588, 456
1. What is the LCM of 282, 449, 969, 588, 456?
Answer: LCM of 282, 449, 969, 588, 456 is 8015932344.
2. How to calculate the LCM of 282, 449, 969, 588, 456?
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 282, 449, 969, 588, 456.
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}.