LCM of 775, 555, 715, 558, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 555, 715, 558, 858 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 775, 555, 715, 558, 858. So, keep reading to learn more.
Given numbers are 775,555,715,558,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,555,715,558,858 is 73809450.
Find LCM of 775,555,715,558,858 with Prime Factorization
| 2 | 775, 555, 715, 558, 858 |
| 3 | 775, 555, 715, 279, 429 |
| 5 | 775, 185, 715, 93, 143 |
| 11 | 155, 37, 143, 93, 143 |
| 13 | 155, 37, 13, 93, 13 |
| 31 | 155, 37, 1, 93, 1 |
| 5, 37, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 31 x 5 x 37 x 1 x 3 x 1 = 73809450
Therefore, the lowest common multiple of 775,555,715,558,858 is 73809450.
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.
775 x 555 x 715 x 558 x 858 = 147238781332500
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.
775 : 1, 5, 25, 31, 155, 775
555 : 1, 3, 5, 15, 37, 111, 185, 555
715 : 1, 5, 11, 13, 55, 65, 143, 715
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,555,715,558,858, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
555:3x 5x 37
715:5x 11x 13
558:2x 3x 3x 31
858:2x 3x 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.
2x 3x 3x 5x 5x 11x 13x 31 = 1994850
Therefore, the value for common factors is 1994850.
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 = 147238781332500/(1x1994850)
LCM = 147238781332500/1994850
LCM = 73809450
Thus, we can understand that the LCM of 775,555,715,558,858 is 73809450.
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FAQs on LCM of 775, 555, 715, 558, 858
1. What is the LCM of 775, 555, 715, 558, 858?
Answer: LCM of 775, 555, 715, 558, 858 is 73809450.
2. How to calculate the LCM of 775, 555, 715, 558, 858?
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 775, 555, 715, 558, 858.
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}.