LCM of 854, 956, 672, 343, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 956, 672, 343, 286 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 854, 956, 672, 343, 286. So, keep reading to learn more.
Given numbers are 854,956,672,343,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,956,672,343,286 is 68648195616.
Find LCM of 854,956,672,343,286 with Prime Factorization
| 2 | 854, 956, 672, 343, 286 |
| 2 | 427, 478, 336, 343, 143 |
| 7 | 427, 239, 168, 343, 143 |
| 61, 239, 24, 49, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 61 x 239 x 24 x 49 x 143 = 68648195616
Therefore, the lowest common multiple of 854,956,672,343,286 is 68648195616.
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.
854 x 956 x 672 x 343 x 286 = 53820185362944
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
956 : 1, 2, 4, 239, 478, 956
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
343 : 1, 7, 49, 343
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,956,672,343,286, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
956:2x 2x 239
672:2x 2x 2x 2x 2x 3x 7
343:7x 7x 7
286:2x 11x 13
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 2x 2x 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 53820185362944/(1x784)
LCM = 53820185362944/784
LCM = 68648195616
Thus, we can understand that the LCM of 854,956,672,343,286 is 68648195616.
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FAQs on LCM of 854, 956, 672, 343, 286
1. What is the LCM of 854, 956, 672, 343, 286?
Answer: LCM of 854, 956, 672, 343, 286 is 68648195616.
2. How to calculate the LCM of 854, 956, 672, 343, 286?
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 854, 956, 672, 343, 286.
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}.