LCM of 478, 399, 456, 772, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 399, 456, 772, 731 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, 399, 456, 772, 731. So, keep reading to learn more.
Given numbers are 478,399,456,772,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,399,456,772,731 is 107630527704.
Find LCM of 478,399,456,772,731 with Prime Factorization
| 2 | 478, 399, 456, 772, 731 |
| 2 | 239, 399, 228, 386, 731 |
| 3 | 239, 399, 114, 193, 731 |
| 19 | 239, 133, 38, 193, 731 |
| 239, 7, 2, 193, 731 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 239 x 7 x 2 x 193 x 731 = 107630527704
Therefore, the lowest common multiple of 478,399,456,772,731 is 107630527704.
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 399 x 456 x 772 x 731 = 49079520633024
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
399 : 1, 3, 7, 19, 21, 57, 133, 399
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
772 : 1, 2, 4, 193, 386, 772
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,399,456,772,731, is 1.
Now, the common factors can be found like this.
478:2x 239
399:3x 7x 19
456:2x 2x 2x 3x 19
772:2x 2x 193
731:17x 43
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 19 = 456
Therefore, the value for common factors is 456.
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 = 49079520633024/(1x456)
LCM = 49079520633024/456
LCM = 107630527704
Thus, we can understand that the LCM of 478,399,456,772,731 is 107630527704.
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FAQs on LCM of 478, 399, 456, 772, 731
1. What is the LCM of 478, 399, 456, 772, 731?
Answer: LCM of 478, 399, 456, 772, 731 is 107630527704.
2. How to calculate the LCM of 478, 399, 456, 772, 731?
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, 399, 456, 772, 731.
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}.