LCM of 478, 557, 315, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 557, 315, 105 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 478, 557, 315, 105. So, keep reading to learn more.
Given numbers are 478,557,315,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,557,315,105 is 83867490.
Find LCM of 478,557,315,105 with Prime Factorization
| 3 | 478, 557, 315, 105 |
| 5 | 478, 557, 105, 35 |
| 7 | 478, 557, 21, 7 |
| 478, 557, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 478 x 557 x 3 x 1 = 83867490
Therefore, the lowest common multiple of 478,557,315,105 is 83867490.
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.
478 x 557 x 315 x 105 = 8806086450
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.
478 : 1, 2, 239, 478
557 : 1, 557
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,557,315,105, is 1.
Now, the common factors can be found like this.
478:2x 239
557:557
315:3x 3x 5x 7
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7 = 105
Therefore, the value for common factors is 105.
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 = 8806086450/(1x105)
LCM = 8806086450/105
LCM = 83867490
Thus, we can understand that the LCM of 478,557,315,105 is 83867490.
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FAQs on LCM of 478, 557, 315, 105
1. What is the LCM of 478, 557, 315, 105?
Answer: LCM of 478, 557, 315, 105 is 83867490.
2. How to calculate the LCM of 478, 557, 315, 105?
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 478, 557, 315, 105.
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}.