LCM of 462, 344, 858, 426, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 344, 858, 426, 947 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 462, 344, 858, 426, 947. So, keep reading to learn more.
Given numbers are 462,344,858,426,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,344,858,426,947 is 69457972584.
Find LCM of 462,344,858,426,947 with Prime Factorization
| 2 | 462, 344, 858, 426, 947 |
| 3 | 231, 172, 429, 213, 947 |
| 11 | 77, 172, 143, 71, 947 |
| 7, 172, 13, 71, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 7 x 172 x 13 x 71 x 947 = 69457972584
Therefore, the lowest common multiple of 462,344,858,426,947 is 69457972584.
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.
462 x 344 x 858 x 426 x 947 = 55010714286528
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
344 : 1, 2, 4, 8, 43, 86, 172, 344
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
426 : 1, 2, 3, 6, 71, 142, 213, 426
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,344,858,426,947, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
344:2x 2x 2x 43
858:2x 3x 11x 13
426:2x 3x 71
947:947
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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 55010714286528/(1x792)
LCM = 55010714286528/792
LCM = 69457972584
Thus, we can understand that the LCM of 462,344,858,426,947 is 69457972584.
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FAQs on LCM of 462, 344, 858, 426, 947
1. What is the LCM of 462, 344, 858, 426, 947?
Answer: LCM of 462, 344, 858, 426, 947 is 69457972584.
2. How to calculate the LCM of 462, 344, 858, 426, 947?
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 462, 344, 858, 426, 947.
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}.