LCM of 113, 353, 176, 517, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 353, 176, 517, 470 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 113, 353, 176, 517, 470. So, keep reading to learn more.
Given numbers are 113,353,176,517,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,353,176,517,470 is 1649809040.
Find LCM of 113,353,176,517,470 with Prime Factorization
| 2 | 113, 353, 176, 517, 470 |
| 11 | 113, 353, 88, 517, 235 |
| 47 | 113, 353, 8, 47, 235 |
| 113, 353, 8, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 47 x 113 x 353 x 8 x 1 x 5 = 1649809040
Therefore, the lowest common multiple of 113,353,176,517,470 is 1649809040.
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.
113 x 353 x 176 x 517 x 470 = 1705902547360
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.
113 : 1, 113
353 : 1, 353
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
517 : 1, 11, 47, 517
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,353,176,517,470, is 1.
Now, the common factors can be found like this.
113:113
353:353
176:2x 2x 2x 2x 11
517:11x 47
470:2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 47 = 1034
Therefore, the value for common factors is 1034.
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 = 1705902547360/(1x1034)
LCM = 1705902547360/1034
LCM = 1649809040
Thus, we can understand that the LCM of 113,353,176,517,470 is 1649809040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 353, 176, 517, 470
1. What is the LCM of 113, 353, 176, 517, 470?
Answer: LCM of 113, 353, 176, 517, 470 is 1649809040.
2. How to calculate the LCM of 113, 353, 176, 517, 470?
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 113, 353, 176, 517, 470.
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}.