LCM of 253, 214, 807, 414, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 214, 807, 414, 811 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 253, 214, 807, 414, 811. So, keep reading to learn more.
Given numbers are 253,214,807,414,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,214,807,414,811 is 106304081202.
Find LCM of 253,214,807,414,811 with Prime Factorization
| 2 | 253, 214, 807, 414, 811 |
| 3 | 253, 107, 807, 207, 811 |
| 23 | 253, 107, 269, 69, 811 |
| 11, 107, 269, 3, 811 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 11 x 107 x 269 x 3 x 811 = 106304081202
Therefore, the lowest common multiple of 253,214,807,414,811 is 106304081202.
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.
253 x 214 x 807 x 414 x 811 = 14669963205876
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.
253 : 1, 11, 23, 253
214 : 1, 2, 107, 214
807 : 1, 3, 269, 807
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,214,807,414,811, is 1.
Now, the common factors can be found like this.
253:11x 23
214:2x 107
807:3x 269
414:2x 3x 3x 23
811:811
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 23 = 138
Therefore, the value for common factors is 138.
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 = 14669963205876/(1x138)
LCM = 14669963205876/138
LCM = 106304081202
Thus, we can understand that the LCM of 253,214,807,414,811 is 106304081202.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 214, 807, 414, 811
1. What is the LCM of 253, 214, 807, 414, 811?
Answer: LCM of 253, 214, 807, 414, 811 is 106304081202.
2. How to calculate the LCM of 253, 214, 807, 414, 811?
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 253, 214, 807, 414, 811.
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}.