LCM of 604, 477, 278, 417, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 477, 278, 417, 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 604, 477, 278, 417, 338. So, keep reading to learn more.
Given numbers are 604,477,278,417,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,477,278,417,338 is 6767945028.
Find LCM of 604,477,278,417,338 with Prime Factorization
| 2 | 604, 477, 278, 417, 338 |
| 3 | 302, 477, 139, 417, 169 |
| 139 | 302, 159, 139, 139, 169 |
| 302, 159, 1, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 302 x 159 x 1 x 1 x 169 = 6767945028
Therefore, the lowest common multiple of 604,477,278,417,338 is 6767945028.
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.
604 x 477 x 278 x 417 x 338 = 11288932306704
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.
604 : 1, 2, 4, 151, 302, 604
477 : 1, 3, 9, 53, 159, 477
278 : 1, 2, 139, 278
417 : 1, 3, 139, 417
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 604,477,278,417,338, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
477:3x 3x 53
278:2x 139
417:3x 139
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 3x 139 = 1668
Therefore, the value for common factors is 1668.
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 = 11288932306704/(1x1668)
LCM = 11288932306704/1668
LCM = 6767945028
Thus, we can understand that the LCM of 604,477,278,417,338 is 6767945028.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 604, 477, 278, 417, 338
1. What is the LCM of 604, 477, 278, 417, 338?
Answer: LCM of 604, 477, 278, 417, 338 is 6767945028.
2. How to calculate the LCM of 604, 477, 278, 417, 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 604, 477, 278, 417, 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}.