LCM of 415, 115, 474, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 415, 115, 474, 736 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, 115, 474, 736. So, keep reading to learn more.
Given numbers are 415,115,474,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,115,474,736 is 72389280.
Find LCM of 415,115,474,736 with Prime Factorization
| 2 | 415, 115, 474, 736 |
| 5 | 415, 115, 237, 368 |
| 23 | 83, 23, 237, 368 |
| 83, 1, 237, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 83 x 1 x 237 x 16 = 72389280
Therefore, the lowest common multiple of 415,115,474,736 is 72389280.
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 115 x 474 x 736 = 16649534400
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
115 : 1, 5, 23, 115
474 : 1, 2, 3, 6, 79, 158, 237, 474
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,115,474,736, is 1.
Now, the common factors can be found like this.
415:5x 83
115:5x 23
474:2x 3x 79
736:2x 2x 2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23 = 230
Therefore, the value for common factors is 230.
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 = 16649534400/(1x230)
LCM = 16649534400/230
LCM = 72389280
Thus, we can understand that the LCM of 415,115,474,736 is 72389280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 415, 115, 474, 736
1. What is the LCM of 415, 115, 474, 736?
Answer: LCM of 415, 115, 474, 736 is 72389280.
2. How to calculate the LCM of 415, 115, 474, 736?
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, 115, 474, 736.
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}.