LCM of 188, 382, 846, 114, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 382, 846, 114, 420 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 188, 382, 846, 114, 420. So, keep reading to learn more.
Given numbers are 188,382,846,114,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,382,846,114,420 is 214909380.
Find LCM of 188,382,846,114,420 with Prime Factorization
| 2 | 188, 382, 846, 114, 420 |
| 2 | 94, 191, 423, 57, 210 |
| 3 | 47, 191, 423, 57, 105 |
| 47 | 47, 191, 141, 19, 35 |
| 1, 191, 3, 19, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 1 x 191 x 3 x 19 x 35 = 214909380
Therefore, the lowest common multiple of 188,382,846,114,420 is 214909380.
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.
188 x 382 x 846 x 114 x 420 = 2909013367680
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.
188 : 1, 2, 4, 47, 94, 188
382 : 1, 2, 191, 382
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
114 : 1, 2, 3, 6, 19, 38, 57, 114
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,382,846,114,420, is 2.
Now, the common factors can be found like this.
188:2x 2x 47
382:2x 191
846:2x 3x 3x 47
114:2x 3x 19
420:2x 2x 3x 5x 7
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 3x 3x 47 = 6768
Therefore, the value for common factors is 6768.
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 = 2909013367680/(2x6768)
LCM = 2909013367680/13536
LCM = 214909380
Thus, we can understand that the LCM of 188,382,846,114,420 is 214909380.
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FAQs on LCM of 188, 382, 846, 114, 420
1. What is the LCM of 188, 382, 846, 114, 420?
Answer: LCM of 188, 382, 846, 114, 420 is 214909380.
2. How to calculate the LCM of 188, 382, 846, 114, 420?
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 188, 382, 846, 114, 420.
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}.