LCM of 254, 410, 511, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 410, 511, 410 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 254, 410, 511, 410. So, keep reading to learn more.
Given numbers are 254,410,511,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,410,511,410 is 26607770.
Find LCM of 254,410,511,410 with Prime Factorization
| 2 | 254, 410, 511, 410 |
| 5 | 127, 205, 511, 205 |
| 41 | 127, 41, 511, 41 |
| 127, 1, 511, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 41 x 127 x 1 x 511 x 1 = 26607770
Therefore, the lowest common multiple of 254,410,511,410 is 26607770.
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.
254 x 410 x 511 x 410 = 21818371400
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.
254 : 1, 2, 127, 254
410 : 1, 2, 5, 10, 41, 82, 205, 410
511 : 1, 7, 73, 511
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,410,511,410, is 1.
Now, the common factors can be found like this.
254:2x 127
410:2x 5x 41
511:7x 73
410:2x 5x 41
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 5x 41 = 820
Therefore, the value for common factors is 820.
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 = 21818371400/(1x820)
LCM = 21818371400/820
LCM = 26607770
Thus, we can understand that the LCM of 254,410,511,410 is 26607770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 254, 410, 511, 410
1. What is the LCM of 254, 410, 511, 410?
Answer: LCM of 254, 410, 511, 410 is 26607770.
2. How to calculate the LCM of 254, 410, 511, 410?
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 254, 410, 511, 410.
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}.