LCM of 140, 428, 728, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 428, 728, 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 140, 428, 728, 338. So, keep reading to learn more.
Given numbers are 140,428,728,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,428,728,338 is 5063240.
Find LCM of 140,428,728,338 with Prime Factorization
| 2 | 140, 428, 728, 338 |
| 2 | 70, 214, 364, 169 |
| 7 | 35, 107, 182, 169 |
| 13 | 5, 107, 26, 169 |
| 5, 107, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 5 x 107 x 2 x 13 = 5063240
Therefore, the lowest common multiple of 140,428,728,338 is 5063240.
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.
140 x 428 x 728 x 338 = 14744154880
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
428 : 1, 2, 4, 107, 214, 428
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
338 : 1, 2, 13, 26, 169, 338
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,428,728,338, is 2.
Now, the common factors can be found like this.
140:2x 2x 5x 7
428:2x 2x 107
728:2x 2x 2x 7x 13
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 2x 2x 7x 13 = 1456
Therefore, the value for common factors is 1456.
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 = 14744154880/(2x1456)
LCM = 14744154880/2912
LCM = 5063240
Thus, we can understand that the LCM of 140,428,728,338 is 5063240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 140, 428, 728, 338
1. What is the LCM of 140, 428, 728, 338?
Answer: LCM of 140, 428, 728, 338 is 5063240.
2. How to calculate the LCM of 140, 428, 728, 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 140, 428, 728, 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}.