LCM of 187, 190, 418, 235, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 190, 418, 235, 545 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, 190, 418, 235, 545. So, keep reading to learn more.
Given numbers are 187,190,418,235,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,190,418,235,545 is 182020190.
Find LCM of 187,190,418,235,545 with Prime Factorization
| 2 | 187, 190, 418, 235, 545 |
| 5 | 187, 95, 209, 235, 545 |
| 11 | 187, 19, 209, 47, 109 |
| 19 | 17, 19, 19, 47, 109 |
| 17, 1, 1, 47, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 19 x 17 x 1 x 1 x 47 x 109 = 182020190
Therefore, the lowest common multiple of 187,190,418,235,545 is 182020190.
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 190 x 418 x 235 x 545 = 1902110985500
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
190 : 1, 2, 5, 10, 19, 38, 95, 190
418 : 1, 2, 11, 19, 22, 38, 209, 418
235 : 1, 5, 47, 235
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,190,418,235,545, is 1.
Now, the common factors can be found like this.
187:11x 17
190:2x 5x 19
418:2x 11x 19
235:5x 47
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 19 = 10450
Therefore, the value for common factors is 10450.
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 = 1902110985500/(1x10450)
LCM = 1902110985500/10450
LCM = 182020190
Thus, we can understand that the LCM of 187,190,418,235,545 is 182020190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 190, 418, 235, 545
1. What is the LCM of 187, 190, 418, 235, 545?
Answer: LCM of 187, 190, 418, 235, 545 is 182020190.
2. How to calculate the LCM of 187, 190, 418, 235, 545?
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, 190, 418, 235, 545.
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}.