LCM of 790, 144, 508, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 790, 144, 508, 474 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 790, 144, 508, 474. So, keep reading to learn more.
Given numbers are 790,144,508,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 790,144,508,474 is 7223760.
Find LCM of 790,144,508,474 with Prime Factorization
| 2 | 790, 144, 508, 474 |
| 2 | 395, 72, 254, 237 |
| 3 | 395, 36, 127, 237 |
| 79 | 395, 12, 127, 79 |
| 5, 12, 127, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 5 x 12 x 127 x 1 = 7223760
Therefore, the lowest common multiple of 790,144,508,474 is 7223760.
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.
790 x 144 x 508 x 474 = 27392497920
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.
790 : 1, 2, 5, 10, 79, 158, 395, 790
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
508 : 1, 2, 4, 127, 254, 508
474 : 1, 2, 3, 6, 79, 158, 237, 474
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,144,508,474, is 2.
Now, the common factors can be found like this.
790:2x 5x 79
144:2x 2x 2x 2x 3x 3
508:2x 2x 127
474:2x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 79 = 1896
Therefore, the value for common factors is 1896.
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 = 27392497920/(2x1896)
LCM = 27392497920/3792
LCM = 7223760
Thus, we can understand that the LCM of 790,144,508,474 is 7223760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 790, 144, 508, 474
1. What is the LCM of 790, 144, 508, 474?
Answer: LCM of 790, 144, 508, 474 is 7223760.
2. How to calculate the LCM of 790, 144, 508, 474?
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 790, 144, 508, 474.
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}.