LCM of 188, 374, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 374, 564 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, 374, 564. So, keep reading to learn more.
Given numbers are 188,374,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,374,564 is 105468.
Find LCM of 188,374,564 with Prime Factorization
| 2 | 188, 374, 564 |
| 2 | 94, 187, 282 |
| 47 | 47, 187, 141 |
| 1, 187, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 1 x 187 x 3 = 105468
Therefore, the lowest common multiple of 188,374,564 is 105468.
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 374 x 564 = 39655968
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,374,564, is 2.
Now, the common factors can be found like this.
188:2x 2x 47
374:2x 11x 17
564:2x 2x 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 47 = 188
Therefore, the value for common factors is 188.
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 = 39655968/(2x188)
LCM = 39655968/376
LCM = 105468
Thus, we can understand that the LCM of 188,374,564 is 105468.
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FAQs on LCM of 188, 374, 564
1. What is the LCM of 188, 374, 564?
Answer: LCM of 188, 374, 564 is 105468.
2. How to calculate the LCM of 188, 374, 564?
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, 374, 564.
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}.