LCM of 491, 139, 834, 158, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 139, 834, 158, 463 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 491, 139, 834, 158, 463. So, keep reading to learn more.
Given numbers are 491,139,834,158,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,139,834,158,463 is 14978062038.
Find LCM of 491,139,834,158,463 with Prime Factorization
| 2 | 491, 139, 834, 158, 463 |
| 139 | 491, 139, 417, 79, 463 |
| 491, 1, 3, 79, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 139 x 491 x 1 x 3 x 79 x 463 = 14978062038
Therefore, the lowest common multiple of 491,139,834,158,463 is 14978062038.
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.
491 x 139 x 834 x 158 x 463 = 4163901246564
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.
491 : 1, 491
139 : 1, 139
834 : 1, 2, 3, 6, 139, 278, 417, 834
158 : 1, 2, 79, 158
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,139,834,158,463, is 1.
Now, the common factors can be found like this.
491:491
139:139
834:2x 3x 139
158:2x 79
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 139 = 278
Therefore, the value for common factors is 278.
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 = 4163901246564/(1x278)
LCM = 4163901246564/278
LCM = 14978062038
Thus, we can understand that the LCM of 491,139,834,158,463 is 14978062038.
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FAQs on LCM of 491, 139, 834, 158, 463
1. What is the LCM of 491, 139, 834, 158, 463?
Answer: LCM of 491, 139, 834, 158, 463 is 14978062038.
2. How to calculate the LCM of 491, 139, 834, 158, 463?
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 491, 139, 834, 158, 463.
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}.