LCM of 372, 478, 717, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 478, 717, 831 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 372, 478, 717, 831. So, keep reading to learn more.
Given numbers are 372,478,717,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,478,717,831 is 24627516.
Find LCM of 372,478,717,831 with Prime Factorization
| 2 | 372, 478, 717, 831 |
| 3 | 186, 239, 717, 831 |
| 239 | 62, 239, 239, 277 |
| 62, 1, 1, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 239 x 62 x 1 x 1 x 277 = 24627516
Therefore, the lowest common multiple of 372,478,717,831 is 24627516.
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.
372 x 478 x 717 x 831 = 105947573832
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
478 : 1, 2, 239, 478
717 : 1, 3, 239, 717
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,478,717,831, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
478:2x 239
717:3x 239
831:3x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 239 = 4302
Therefore, the value for common factors is 4302.
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 = 105947573832/(1x4302)
LCM = 105947573832/4302
LCM = 24627516
Thus, we can understand that the LCM of 372,478,717,831 is 24627516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 372, 478, 717, 831
1. What is the LCM of 372, 478, 717, 831?
Answer: LCM of 372, 478, 717, 831 is 24627516.
2. How to calculate the LCM of 372, 478, 717, 831?
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 372, 478, 717, 831.
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}.