LCM of 318, 954, 814, 138, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 954, 814, 138, 671 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 318, 954, 814, 138, 671. So, keep reading to learn more.
Given numbers are 318,954,814,138,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,954,814,138,671 is 544754034.
Find LCM of 318,954,814,138,671 with Prime Factorization
| 2 | 318, 954, 814, 138, 671 |
| 3 | 159, 477, 407, 69, 671 |
| 11 | 53, 159, 407, 23, 671 |
| 53 | 53, 159, 37, 23, 61 |
| 1, 3, 37, 23, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 53 x 1 x 3 x 37 x 23 x 61 = 544754034
Therefore, the lowest common multiple of 318,954,814,138,671 is 544754034.
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.
318 x 954 x 814 x 138 x 671 = 22866595331184
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
814 : 1, 2, 11, 22, 37, 74, 407, 814
138 : 1, 2, 3, 6, 23, 46, 69, 138
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,954,814,138,671, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
954:2x 3x 3x 53
814:2x 11x 37
138:2x 3x 23
671:11x 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 2x 2x 3x 3x 11x 53 = 41976
Therefore, the value for common factors is 41976.
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 = 22866595331184/(1x41976)
LCM = 22866595331184/41976
LCM = 544754034
Thus, we can understand that the LCM of 318,954,814,138,671 is 544754034.
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FAQs on LCM of 318, 954, 814, 138, 671
1. What is the LCM of 318, 954, 814, 138, 671?
Answer: LCM of 318, 954, 814, 138, 671 is 544754034.
2. How to calculate the LCM of 318, 954, 814, 138, 671?
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 318, 954, 814, 138, 671.
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}.