LCM of 117, 473, 470, 117, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 473, 470, 117, 558 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 117, 473, 470, 117, 558. So, keep reading to learn more.
Given numbers are 117,473,470,117,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,473,470,117,558 is 806318370.
Find LCM of 117,473,470,117,558 with Prime Factorization
| 2 | 117, 473, 470, 117, 558 |
| 3 | 117, 473, 235, 117, 279 |
| 3 | 39, 473, 235, 39, 93 |
| 13 | 13, 473, 235, 13, 31 |
| 1, 473, 235, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 1 x 473 x 235 x 1 x 31 = 806318370
Therefore, the lowest common multiple of 117,473,470,117,558 is 806318370.
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.
117 x 473 x 470 x 117 x 558 = 1698106487220
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.
117 : 1, 3, 9, 13, 39, 117
473 : 1, 11, 43, 473
470 : 1, 2, 5, 10, 47, 94, 235, 470
117 : 1, 3, 9, 13, 39, 117
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,473,470,117,558, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
473:11x 43
470:2x 5x 47
117:3x 3x 13
558:2x 3x 3x 31
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 3x 3x 13 = 2106
Therefore, the value for common factors is 2106.
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 = 1698106487220/(1x2106)
LCM = 1698106487220/2106
LCM = 806318370
Thus, we can understand that the LCM of 117,473,470,117,558 is 806318370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 117, 473, 470, 117, 558
1. What is the LCM of 117, 473, 470, 117, 558?
Answer: LCM of 117, 473, 470, 117, 558 is 806318370.
2. How to calculate the LCM of 117, 473, 470, 117, 558?
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 117, 473, 470, 117, 558.
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}.