LCM of 105, 545, 451, 270, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 545, 451, 270, 715 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 105, 545, 451, 270, 715. So, keep reading to learn more.
Given numbers are 105,545,451,270,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,545,451,270,715 is 1207836630.
Find LCM of 105,545,451,270,715 with Prime Factorization
| 3 | 105, 545, 451, 270, 715 |
| 5 | 35, 545, 451, 90, 715 |
| 11 | 7, 109, 451, 18, 143 |
| 7, 109, 41, 18, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 7 x 109 x 41 x 18 x 13 = 1207836630
Therefore, the lowest common multiple of 105,545,451,270,715 is 1207836630.
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.
105 x 545 x 451 x 270 x 715 = 4982326098750
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
545 : 1, 5, 109, 545
451 : 1, 11, 41, 451
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,545,451,270,715, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
545:5x 109
451:11x 41
270:2x 3x 3x 3x 5
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 11 = 4125
Therefore, the value for common factors is 4125.
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 = 4982326098750/(1x4125)
LCM = 4982326098750/4125
LCM = 1207836630
Thus, we can understand that the LCM of 105,545,451,270,715 is 1207836630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 545, 451, 270, 715
1. What is the LCM of 105, 545, 451, 270, 715?
Answer: LCM of 105, 545, 451, 270, 715 is 1207836630.
2. How to calculate the LCM of 105, 545, 451, 270, 715?
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 105, 545, 451, 270, 715.
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}.