LCM of 391, 286, 101, 846, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 286, 101, 846, 261 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 391, 286, 101, 846, 261. So, keep reading to learn more.
Given numbers are 391,286,101,846,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,286,101,846,261 is 138548723742.
Find LCM of 391,286,101,846,261 with Prime Factorization
| 2 | 391, 286, 101, 846, 261 |
| 3 | 391, 143, 101, 423, 261 |
| 3 | 391, 143, 101, 141, 87 |
| 391, 143, 101, 47, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 391 x 143 x 101 x 47 x 29 = 138548723742
Therefore, the lowest common multiple of 391,286,101,846,261 is 138548723742.
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.
391 x 286 x 101 x 846 x 261 = 2493877027356
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.
391 : 1, 17, 23, 391
286 : 1, 2, 11, 13, 22, 26, 143, 286
101 : 1, 101
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,286,101,846,261, is 1.
Now, the common factors can be found like this.
391:17x 23
286:2x 11x 13
101:101
846:2x 3x 3x 47
261:3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 2493877027356/(1x18)
LCM = 2493877027356/18
LCM = 138548723742
Thus, we can understand that the LCM of 391,286,101,846,261 is 138548723742.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 286, 101, 846, 261
1. What is the LCM of 391, 286, 101, 846, 261?
Answer: LCM of 391, 286, 101, 846, 261 is 138548723742.
2. How to calculate the LCM of 391, 286, 101, 846, 261?
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 391, 286, 101, 846, 261.
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}.