LCM of 605, 158, 545, 704, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 158, 545, 704, 190 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 605, 158, 545, 704, 190. So, keep reading to learn more.
Given numbers are 605,158,545,704,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,158,545,704,190 is 6334940480.
Find LCM of 605,158,545,704,190 with Prime Factorization
| 2 | 605, 158, 545, 704, 190 |
| 5 | 605, 79, 545, 352, 95 |
| 11 | 121, 79, 109, 352, 19 |
| 11, 79, 109, 32, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 11 x 79 x 109 x 32 x 19 = 6334940480
Therefore, the lowest common multiple of 605,158,545,704,190 is 6334940480.
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.
605 x 158 x 545 x 704 x 190 = 6968434528000
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.
605 : 1, 5, 11, 55, 121, 605
158 : 1, 2, 79, 158
545 : 1, 5, 109, 545
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,158,545,704,190, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
158:2x 79
545:5x 109
704:2x 2x 2x 2x 2x 2x 11
190:2x 5x 19
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 5x 5x 11 = 1100
Therefore, the value for common factors is 1100.
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 = 6968434528000/(1x1100)
LCM = 6968434528000/1100
LCM = 6334940480
Thus, we can understand that the LCM of 605,158,545,704,190 is 6334940480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 158, 545, 704, 190
1. What is the LCM of 605, 158, 545, 704, 190?
Answer: LCM of 605, 158, 545, 704, 190 is 6334940480.
2. How to calculate the LCM of 605, 158, 545, 704, 190?
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 605, 158, 545, 704, 190.
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}.