LCM of 376, 360, 684, 166
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 360, 684, 166 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 376, 360, 684, 166. So, keep reading to learn more.
Given numbers are 376,360,684,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,360,684,166 is 26682840.
Find LCM of 376,360,684,166 with Prime Factorization
| 2 | 376, 360, 684, 166 |
| 2 | 188, 180, 342, 83 |
| 2 | 94, 90, 171, 83 |
| 3 | 47, 45, 171, 83 |
| 3 | 47, 15, 57, 83 |
| 47, 5, 19, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 47 x 5 x 19 x 83 = 26682840
Therefore, the lowest common multiple of 376,360,684,166 is 26682840.
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.
376 x 360 x 684 x 166 = 15369315840
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
166 : 1, 2, 83, 166
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,360,684,166, is 2.
Now, the common factors can be found like this.
376:2x 2x 2x 47
360:2x 2x 2x 3x 3x 5
684:2x 2x 3x 3x 19
166:2x 83
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 15369315840/(2x288)
LCM = 15369315840/576
LCM = 26682840
Thus, we can understand that the LCM of 376,360,684,166 is 26682840.
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FAQs on LCM of 376, 360, 684, 166
1. What is the LCM of 376, 360, 684, 166?
Answer: LCM of 376, 360, 684, 166 is 26682840.
2. How to calculate the LCM of 376, 360, 684, 166?
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 376, 360, 684, 166.
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}.