LCM of 338, 676, 782, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 676, 782, 679 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 338, 676, 782, 679. So, keep reading to learn more.
Given numbers are 338,676,782,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,676,782,679 is 179470564.
Find LCM of 338,676,782,679 with Prime Factorization
| 2 | 338, 676, 782, 679 |
| 13 | 169, 338, 391, 679 |
| 13 | 13, 26, 391, 679 |
| 1, 2, 391, 679 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 1 x 2 x 391 x 679 = 179470564
Therefore, the lowest common multiple of 338,676,782,679 is 179470564.
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.
338 x 676 x 782 x 679 = 121322101264
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.
338 : 1, 2, 13, 26, 169, 338
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
782 : 1, 2, 17, 23, 34, 46, 391, 782
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,676,782,679, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
676:2x 2x 13x 13
782:2x 17x 23
679:7x 97
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 13 = 676
Therefore, the value for common factors is 676.
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 = 121322101264/(1x676)
LCM = 121322101264/676
LCM = 179470564
Thus, we can understand that the LCM of 338,676,782,679 is 179470564.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 338, 676, 782, 679
1. What is the LCM of 338, 676, 782, 679?
Answer: LCM of 338, 676, 782, 679 is 179470564.
2. How to calculate the LCM of 338, 676, 782, 679?
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 338, 676, 782, 679.
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}.