LCM of 263, 142, 552, 426, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 142, 552, 426, 821 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 263, 142, 552, 426, 821. So, keep reading to learn more.
Given numbers are 263,142,552,426,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,142,552,426,821 is 8462454216.
Find LCM of 263,142,552,426,821 with Prime Factorization
| 2 | 263, 142, 552, 426, 821 |
| 3 | 263, 71, 276, 213, 821 |
| 71 | 263, 71, 92, 71, 821 |
| 263, 1, 92, 1, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 263 x 1 x 92 x 1 x 821 = 8462454216
Therefore, the lowest common multiple of 263,142,552,426,821 is 8462454216.
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.
263 x 142 x 552 x 426 x 821 = 7210010992032
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.
263 : 1, 263
142 : 1, 2, 71, 142
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
426 : 1, 2, 3, 6, 71, 142, 213, 426
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,142,552,426,821, is 1.
Now, the common factors can be found like this.
263:263
142:2x 71
552:2x 2x 2x 3x 23
426:2x 3x 71
821:821
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 71 = 852
Therefore, the value for common factors is 852.
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 = 7210010992032/(1x852)
LCM = 7210010992032/852
LCM = 8462454216
Thus, we can understand that the LCM of 263,142,552,426,821 is 8462454216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 263, 142, 552, 426, 821
1. What is the LCM of 263, 142, 552, 426, 821?
Answer: LCM of 263, 142, 552, 426, 821 is 8462454216.
2. How to calculate the LCM of 263, 142, 552, 426, 821?
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 263, 142, 552, 426, 821.
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}.