LCM of 304, 283, 336, 440, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 283, 336, 440, 991 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 304, 283, 336, 440, 991. So, keep reading to learn more.
Given numbers are 304,283,336,440,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,283,336,440,991 is 98472657360.
Find LCM of 304,283,336,440,991 with Prime Factorization
| 2 | 304, 283, 336, 440, 991 |
| 2 | 152, 283, 168, 220, 991 |
| 2 | 76, 283, 84, 110, 991 |
| 2 | 38, 283, 42, 55, 991 |
| 19, 283, 21, 55, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 283 x 21 x 55 x 991 = 98472657360
Therefore, the lowest common multiple of 304,283,336,440,991 is 98472657360.
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.
304 x 283 x 336 x 440 x 991 = 12604500142080
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
283 : 1, 283
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,283,336,440,991, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
283:283
336:2x 2x 2x 2x 3x 7
440:2x 2x 2x 5x 11
991:991
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 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 12604500142080/(1x128)
LCM = 12604500142080/128
LCM = 98472657360
Thus, we can understand that the LCM of 304,283,336,440,991 is 98472657360.
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FAQs on LCM of 304, 283, 336, 440, 991
1. What is the LCM of 304, 283, 336, 440, 991?
Answer: LCM of 304, 283, 336, 440, 991 is 98472657360.
2. How to calculate the LCM of 304, 283, 336, 440, 991?
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 304, 283, 336, 440, 991.
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}.