LCM of 277, 462, 427, 854
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 462, 427, 854 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 277, 462, 427, 854. So, keep reading to learn more.
Given numbers are 277,462,427,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,462,427,854 is 7806414.
Find LCM of 277,462,427,854 with Prime Factorization
| 2 | 277, 462, 427, 854 |
| 7 | 277, 231, 427, 427 |
| 61 | 277, 33, 61, 61 |
| 277, 33, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 61 x 277 x 33 x 1 x 1 = 7806414
Therefore, the lowest common multiple of 277,462,427,854 is 7806414.
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.
277 x 462 x 427 x 854 = 46666742892
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.
277 : 1, 277
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
427 : 1, 7, 61, 427
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,462,427,854, is 1.
Now, the common factors can be found like this.
277:277
462:2x 3x 7x 11
427:7x 61
854:2x 7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 61 = 5978
Therefore, the value for common factors is 5978.
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 = 46666742892/(1x5978)
LCM = 46666742892/5978
LCM = 7806414
Thus, we can understand that the LCM of 277,462,427,854 is 7806414.
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FAQs on LCM of 277, 462, 427, 854
1. What is the LCM of 277, 462, 427, 854?
Answer: LCM of 277, 462, 427, 854 is 7806414.
2. How to calculate the LCM of 277, 462, 427, 854?
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 277, 462, 427, 854.
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}.