LCM of 415, 253, 363, 581, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 253, 363, 581, 123 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 415, 253, 363, 581, 123. So, keep reading to learn more.
Given numbers are 415,253,363,581,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,253,363,581,123 is 994407645.
Find LCM of 415,253,363,581,123 with Prime Factorization
| 3 | 415, 253, 363, 581, 123 |
| 11 | 415, 253, 121, 581, 41 |
| 83 | 415, 23, 11, 581, 41 |
| 5, 23, 11, 7, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 83 x 5 x 23 x 11 x 7 x 41 = 994407645
Therefore, the lowest common multiple of 415,253,363,581,123 is 994407645.
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.
415 x 253 x 363 x 581 x 123 = 2723682539655
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.
415 : 1, 5, 83, 415
253 : 1, 11, 23, 253
363 : 1, 3, 11, 33, 121, 363
581 : 1, 7, 83, 581
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,253,363,581,123, is 1.
Now, the common factors can be found like this.
415:5x 83
253:11x 23
363:3x 11x 11
581:7x 83
123:3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 83 = 2739
Therefore, the value for common factors is 2739.
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 = 2723682539655/(1x2739)
LCM = 2723682539655/2739
LCM = 994407645
Thus, we can understand that the LCM of 415,253,363,581,123 is 994407645.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 415, 253, 363, 581, 123
1. What is the LCM of 415, 253, 363, 581, 123?
Answer: LCM of 415, 253, 363, 581, 123 is 994407645.
2. How to calculate the LCM of 415, 253, 363, 581, 123?
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 415, 253, 363, 581, 123.
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}.