LCM of 187, 745, 845, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 745, 845, 390 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, 745, 845, 390. So, keep reading to learn more.
Given numbers are 187,745,845,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,745,845,390 is 141265410.
Find LCM of 187,745,845,390 with Prime Factorization
| 5 | 187, 745, 845, 390 |
| 13 | 187, 149, 169, 78 |
| 187, 149, 13, 6 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 187 x 149 x 13 x 6 = 141265410
Therefore, the lowest common multiple of 187,745,845,390 is 141265410.
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 745 x 845 x 390 = 45911258250
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
745 : 1, 5, 149, 745
845 : 1, 5, 13, 65, 169, 845
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,745,845,390, is 1.
Now, the common factors can be found like this.
187:11x 17
745:5x 149
845:5x 13x 13
390:2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 13 = 325
Therefore, the value for common factors is 325.
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 = 45911258250/(1x325)
LCM = 45911258250/325
LCM = 141265410
Thus, we can understand that the LCM of 187,745,845,390 is 141265410.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 745, 845, 390
1. What is the LCM of 187, 745, 845, 390?
Answer: LCM of 187, 745, 845, 390 is 141265410.
2. How to calculate the LCM of 187, 745, 845, 390?
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, 745, 845, 390.
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}.