LCM of 282, 902, 451, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 902, 451, 984 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, 902, 451, 984. So, keep reading to learn more.
Given numbers are 282,902,451,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,902,451,984 is 508728.
Find LCM of 282,902,451,984 with Prime Factorization
| 2 | 282, 902, 451, 984 |
| 3 | 141, 451, 451, 492 |
| 11 | 47, 451, 451, 164 |
| 41 | 47, 41, 41, 164 |
| 47, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 41 x 47 x 1 x 1 x 4 = 508728
Therefore, the lowest common multiple of 282,902,451,984 is 508728.
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 902 x 451 x 984 = 112882673376
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
902 : 1, 2, 11, 22, 41, 82, 451, 902
451 : 1, 11, 41, 451
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,902,451,984, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
902:2x 11x 41
451:11x 41
984:2x 2x 2x 3x 41
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 3x 11x 41x 41 = 221892
Therefore, the value for common factors is 221892.
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 = 112882673376/(1x221892)
LCM = 112882673376/221892
LCM = 508728
Thus, we can understand that the LCM of 282,902,451,984 is 508728.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 282, 902, 451, 984
1. What is the LCM of 282, 902, 451, 984?
Answer: LCM of 282, 902, 451, 984 is 508728.
2. How to calculate the LCM of 282, 902, 451, 984?
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, 902, 451, 984.
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}.