LCM of 676, 138, 782, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 138, 782, 221 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 676, 138, 782, 221. So, keep reading to learn more.
Given numbers are 676,138,782,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,138,782,221 is 792948.
Find LCM of 676,138,782,221 with Prime Factorization
| 2 | 676, 138, 782, 221 |
| 13 | 338, 69, 391, 221 |
| 17 | 26, 69, 391, 17 |
| 23 | 26, 69, 23, 1 |
| 26, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 23 x 26 x 3 x 1 x 1 = 792948
Therefore, the lowest common multiple of 676,138,782,221 is 792948.
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.
676 x 138 x 782 x 221 = 16122218736
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
138 : 1, 2, 3, 6, 23, 46, 69, 138
782 : 1, 2, 17, 23, 34, 46, 391, 782
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,138,782,221, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
138:2x 3x 23
782:2x 17x 23
221:13x 17
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 13x 17x 23 = 20332
Therefore, the value for common factors is 20332.
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 = 16122218736/(1x20332)
LCM = 16122218736/20332
LCM = 792948
Thus, we can understand that the LCM of 676,138,782,221 is 792948.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 138, 782, 221
1. What is the LCM of 676, 138, 782, 221?
Answer: LCM of 676, 138, 782, 221 is 792948.
2. How to calculate the LCM of 676, 138, 782, 221?
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 676, 138, 782, 221.
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}.