LCM of 456, 345, 270, 391, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 345, 270, 391, 871 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 456, 345, 270, 391, 871. So, keep reading to learn more.
Given numbers are 456,345,270,391,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,345,270,391,871 is 6988311720.
Find LCM of 456,345,270,391,871 with Prime Factorization
| 2 | 456, 345, 270, 391, 871 |
| 3 | 228, 345, 135, 391, 871 |
| 5 | 76, 115, 45, 391, 871 |
| 23 | 76, 23, 9, 391, 871 |
| 76, 1, 9, 17, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 76 x 1 x 9 x 17 x 871 = 6988311720
Therefore, the lowest common multiple of 456,345,270,391,871 is 6988311720.
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.
456 x 345 x 270 x 391 x 871 = 14465805260400
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
345 : 1, 3, 5, 15, 23, 69, 115, 345
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
391 : 1, 17, 23, 391
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,345,270,391,871, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
345:3x 5x 23
270:2x 3x 3x 3x 5
391:17x 23
871:13x 67
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 5x 23 = 2070
Therefore, the value for common factors is 2070.
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 = 14465805260400/(1x2070)
LCM = 14465805260400/2070
LCM = 6988311720
Thus, we can understand that the LCM of 456,345,270,391,871 is 6988311720.
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FAQs on LCM of 456, 345, 270, 391, 871
1. What is the LCM of 456, 345, 270, 391, 871?
Answer: LCM of 456, 345, 270, 391, 871 is 6988311720.
2. How to calculate the LCM of 456, 345, 270, 391, 871?
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 456, 345, 270, 391, 871.
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}.