LCM of 187, 408, 714, 634, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 408, 714, 634, 189 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 187, 408, 714, 634, 189. So, keep reading to learn more.
Given numbers are 187,408,714,634,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,408,714,634,189 is 89629848.
Find LCM of 187,408,714,634,189 with Prime Factorization
| 2 | 187, 408, 714, 634, 189 |
| 3 | 187, 204, 357, 317, 189 |
| 7 | 187, 68, 119, 317, 63 |
| 17 | 187, 68, 17, 317, 9 |
| 11, 4, 1, 317, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 11 x 4 x 1 x 317 x 9 = 89629848
Therefore, the lowest common multiple of 187,408,714,634,189 is 89629848.
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.
187 x 408 x 714 x 634 x 189 = 6527562570144
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.
187 : 1, 11, 17, 187
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
634 : 1, 2, 317, 634
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,408,714,634,189, is 1.
Now, the common factors can be found like this.
187:11x 17
408:2x 2x 2x 3x 17
714:2x 3x 7x 17
634:2x 317
189:3x 3x 3x 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 3x 3x 7x 17x 17 = 72828
Therefore, the value for common factors is 72828.
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 = 6527562570144/(1x72828)
LCM = 6527562570144/72828
LCM = 89629848
Thus, we can understand that the LCM of 187,408,714,634,189 is 89629848.
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FAQs on LCM of 187, 408, 714, 634, 189
1. What is the LCM of 187, 408, 714, 634, 189?
Answer: LCM of 187, 408, 714, 634, 189 is 89629848.
2. How to calculate the LCM of 187, 408, 714, 634, 189?
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 187, 408, 714, 634, 189.
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}.