LCM of 338, 676, 353, 592
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 676, 353, 592 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, 353, 592. So, keep reading to learn more.
Given numbers are 338,676,353,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,676,353,592 is 35316944.
Find LCM of 338,676,353,592 with Prime Factorization
| 2 | 338, 676, 353, 592 |
| 2 | 169, 338, 353, 296 |
| 13 | 169, 169, 353, 148 |
| 13 | 13, 13, 353, 148 |
| 1, 1, 353, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 1 x 1 x 353 x 148 = 35316944
Therefore, the lowest common multiple of 338,676,353,592 is 35316944.
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 353 x 592 = 47748508288
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
353 : 1, 353
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,676,353,592, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
676:2x 2x 13x 13
353:353
592:2x 2x 2x 2x 37
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 2x 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 47748508288/(1x1352)
LCM = 47748508288/1352
LCM = 35316944
Thus, we can understand that the LCM of 338,676,353,592 is 35316944.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 338, 676, 353, 592
1. What is the LCM of 338, 676, 353, 592?
Answer: LCM of 338, 676, 353, 592 is 35316944.
2. How to calculate the LCM of 338, 676, 353, 592?
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, 353, 592.
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}.