LCM of 392, 718, 343, 499, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 718, 343, 499, 338 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 392, 718, 343, 499, 338. So, keep reading to learn more.
Given numbers are 392,718,343,499,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,718,343,499,338 is 83074130776.
Find LCM of 392,718,343,499,338 with Prime Factorization
| 2 | 392, 718, 343, 499, 338 |
| 7 | 196, 359, 343, 499, 169 |
| 7 | 28, 359, 49, 499, 169 |
| 4, 359, 7, 499, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 4 x 359 x 7 x 499 x 169 = 83074130776
Therefore, the lowest common multiple of 392,718,343,499,338 is 83074130776.
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.
392 x 718 x 343 x 499 x 338 = 16282529632096
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
718 : 1, 2, 359, 718
343 : 1, 7, 49, 343
499 : 1, 499
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,718,343,499,338, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
718:2x 359
343:7x 7x 7
499:499
338:2x 13x 13
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 16282529632096/(1x196)
LCM = 16282529632096/196
LCM = 83074130776
Thus, we can understand that the LCM of 392,718,343,499,338 is 83074130776.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 392, 718, 343, 499, 338
1. What is the LCM of 392, 718, 343, 499, 338?
Answer: LCM of 392, 718, 343, 499, 338 is 83074130776.
2. How to calculate the LCM of 392, 718, 343, 499, 338?
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 392, 718, 343, 499, 338.
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}.