LCM of 188, 748, 196, 374, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 748, 196, 374, 406 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, 748, 196, 374, 406. So, keep reading to learn more.
Given numbers are 188,748,196,374,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,748,196,374,406 is 49956676.
Find LCM of 188,748,196,374,406 with Prime Factorization
| 2 | 188, 748, 196, 374, 406 |
| 2 | 94, 374, 98, 187, 203 |
| 7 | 47, 187, 49, 187, 203 |
| 11 | 47, 187, 7, 187, 29 |
| 17 | 47, 17, 7, 17, 29 |
| 47, 1, 7, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 17 x 47 x 1 x 7 x 1 x 29 = 49956676
Therefore, the lowest common multiple of 188,748,196,374,406 is 49956676.
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 748 x 196 x 374 x 406 = 4185170488576
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
374 : 1, 2, 11, 17, 22, 34, 187, 374
406 : 1, 2, 7, 14, 29, 58, 203, 406
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,748,196,374,406, is 2.
Now, the common factors can be found like this.
188:2x 2x 47
748:2x 2x 11x 17
196:2x 2x 7x 7
374:2x 11x 17
406:2x 7x 29
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 7x 11x 17 = 41888
Therefore, the value for common factors is 41888.
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 = 4185170488576/(2x41888)
LCM = 4185170488576/83776
LCM = 49956676
Thus, we can understand that the LCM of 188,748,196,374,406 is 49956676.
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FAQs on LCM of 188, 748, 196, 374, 406
1. What is the LCM of 188, 748, 196, 374, 406?
Answer: LCM of 188, 748, 196, 374, 406 is 49956676.
2. How to calculate the LCM of 188, 748, 196, 374, 406?
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, 748, 196, 374, 406.
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}.