LCM of 905, 478, 413, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 478, 413, 428 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 905, 478, 413, 428. So, keep reading to learn more.
Given numbers are 905,478,413,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,478,413,428 is 38233169380.
Find LCM of 905,478,413,428 with Prime Factorization
| 2 | 905, 478, 413, 428 |
| 905, 239, 413, 214 |
Multiply the prime numbers at the bottom and the left side.
2 x 905 x 239 x 413 x 214 = 38233169380
Therefore, the lowest common multiple of 905,478,413,428 is 38233169380.
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.
905 x 478 x 413 x 428 = 76466338760
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.
905 : 1, 5, 181, 905
478 : 1, 2, 239, 478
413 : 1, 7, 59, 413
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,478,413,428, is 1.
Now, the common factors can be found like this.
905:5x 181
478:2x 239
413:7x 59
428:2x 2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 76466338760/(1x2)
LCM = 76466338760/2
LCM = 38233169380
Thus, we can understand that the LCM of 905,478,413,428 is 38233169380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 905, 478, 413, 428
1. What is the LCM of 905, 478, 413, 428?
Answer: LCM of 905, 478, 413, 428 is 38233169380.
2. How to calculate the LCM of 905, 478, 413, 428?
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 905, 478, 413, 428.
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}.