LCM of 304, 319, 846, 228, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 319, 846, 228, 141 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, 319, 846, 228, 141. So, keep reading to learn more.
Given numbers are 304,319,846,228,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,319,846,228,141 is 41020848.
Find LCM of 304,319,846,228,141 with Prime Factorization
| 2 | 304, 319, 846, 228, 141 |
| 2 | 152, 319, 423, 114, 141 |
| 3 | 76, 319, 423, 57, 141 |
| 19 | 76, 319, 47, 19, 141 |
| 47 | 4, 319, 47, 1, 141 |
| 4, 319, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 47 x 4 x 319 x 1 x 1 x 3 = 41020848
Therefore, the lowest common multiple of 304,319,846,228,141 is 41020848.
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 319 x 846 x 228 x 141 = 2637476443008
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
319 : 1, 11, 29, 319
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,319,846,228,141, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
319:11x 29
846:2x 3x 3x 47
228:2x 2x 3x 19
141:3x 47
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 19x 47 = 64296
Therefore, the value for common factors is 64296.
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 = 2637476443008/(1x64296)
LCM = 2637476443008/64296
LCM = 41020848
Thus, we can understand that the LCM of 304,319,846,228,141 is 41020848.
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FAQs on LCM of 304, 319, 846, 228, 141
1. What is the LCM of 304, 319, 846, 228, 141?
Answer: LCM of 304, 319, 846, 228, 141 is 41020848.
2. How to calculate the LCM of 304, 319, 846, 228, 141?
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, 319, 846, 228, 141.
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}.