LCM of 286, 138, 221, 677, 778
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 138, 221, 677, 778 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 286, 138, 221, 677, 778. So, keep reading to learn more.
Given numbers are 286,138,221,677,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,138,221,677,778 is 88349137734.
Find LCM of 286,138,221,677,778 with Prime Factorization
| 2 | 286, 138, 221, 677, 778 |
| 13 | 143, 69, 221, 677, 389 |
| 11, 69, 17, 677, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 11 x 69 x 17 x 677 x 389 = 88349137734
Therefore, the lowest common multiple of 286,138,221,677,778 is 88349137734.
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.
286 x 138 x 221 x 677 x 778 = 4594155162168
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
138 : 1, 2, 3, 6, 23, 46, 69, 138
221 : 1, 13, 17, 221
677 : 1, 677
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,138,221,677,778, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
138:2x 3x 23
221:13x 17
677:677
778:2x 389
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 13 = 52
Therefore, the value for common factors is 52.
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 = 4594155162168/(1x52)
LCM = 4594155162168/52
LCM = 88349137734
Thus, we can understand that the LCM of 286,138,221,677,778 is 88349137734.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 286, 138, 221, 677, 778
1. What is the LCM of 286, 138, 221, 677, 778?
Answer: LCM of 286, 138, 221, 677, 778 is 88349137734.
2. How to calculate the LCM of 286, 138, 221, 677, 778?
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 286, 138, 221, 677, 778.
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}.