LCM of 913, 355, 174, 284, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 355, 174, 284, 435 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 913, 355, 174, 284, 435. So, keep reading to learn more.
Given numbers are 913,355,174,284,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,355,174,284,435 is 112792020.
Find LCM of 913,355,174,284,435 with Prime Factorization
| 2 | 913, 355, 174, 284, 435 |
| 3 | 913, 355, 87, 142, 435 |
| 5 | 913, 355, 29, 142, 145 |
| 29 | 913, 71, 29, 142, 29 |
| 71 | 913, 71, 1, 142, 1 |
| 913, 1, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 71 x 913 x 1 x 1 x 2 x 1 = 112792020
Therefore, the lowest common multiple of 913,355,174,284,435 is 112792020.
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.
913 x 355 x 174 x 284 x 435 = 6967163075400
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.
913 : 1, 11, 83, 913
355 : 1, 5, 71, 355
174 : 1, 2, 3, 6, 29, 58, 87, 174
284 : 1, 2, 4, 71, 142, 284
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,355,174,284,435, is 1.
Now, the common factors can be found like this.
913:11x 83
355:5x 71
174:2x 3x 29
284:2x 2x 71
435:3x 5x 29
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 5x 29x 71 = 61770
Therefore, the value for common factors is 61770.
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 = 6967163075400/(1x61770)
LCM = 6967163075400/61770
LCM = 112792020
Thus, we can understand that the LCM of 913,355,174,284,435 is 112792020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 913, 355, 174, 284, 435
1. What is the LCM of 913, 355, 174, 284, 435?
Answer: LCM of 913, 355, 174, 284, 435 is 112792020.
2. How to calculate the LCM of 913, 355, 174, 284, 435?
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 913, 355, 174, 284, 435.
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}.