LCM of 478, 456, 830, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 456, 830, 270 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, 456, 830, 270. So, keep reading to learn more.
Given numbers are 478,456,830,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,456,830,270 is 407055240.
Find LCM of 478,456,830,270 with Prime Factorization
| 2 | 478, 456, 830, 270 |
| 3 | 239, 228, 415, 135 |
| 5 | 239, 76, 415, 45 |
| 239, 76, 83, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 239 x 76 x 83 x 9 = 407055240
Therefore, the lowest common multiple of 478,456,830,270 is 407055240.
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 456 x 830 x 270 = 48846628800
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
830 : 1, 2, 5, 10, 83, 166, 415, 830
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,456,830,270, is 2.
Now, the common factors can be found like this.
478:2x 239
456:2x 2x 2x 3x 19
830:2x 5x 83
270:2x 3x 3x 3x 5
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 48846628800/(2x60)
LCM = 48846628800/120
LCM = 407055240
Thus, we can understand that the LCM of 478,456,830,270 is 407055240.
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FAQs on LCM of 478, 456, 830, 270
1. What is the LCM of 478, 456, 830, 270?
Answer: LCM of 478, 456, 830, 270 is 407055240.
2. How to calculate the LCM of 478, 456, 830, 270?
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, 456, 830, 270.
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}.