LCM of 439, 745, 164, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 745, 164, 788 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 439, 745, 164, 788. So, keep reading to learn more.
Given numbers are 439,745,164,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,745,164,788 is 10566492940.
Find LCM of 439,745,164,788 with Prime Factorization
| 2 | 439, 745, 164, 788 |
| 2 | 439, 745, 82, 394 |
| 439, 745, 41, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 439 x 745 x 41 x 197 = 10566492940
Therefore, the lowest common multiple of 439,745,164,788 is 10566492940.
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.
439 x 745 x 164 x 788 = 42265971760
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.
439 : 1, 439
745 : 1, 5, 149, 745
164 : 1, 2, 4, 41, 82, 164
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,745,164,788, is 1.
Now, the common factors can be found like this.
439:439
745:5x 149
164:2x 2x 41
788:2x 2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 42265971760/(1x4)
LCM = 42265971760/4
LCM = 10566492940
Thus, we can understand that the LCM of 439,745,164,788 is 10566492940.
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FAQs on LCM of 439, 745, 164, 788
1. What is the LCM of 439, 745, 164, 788?
Answer: LCM of 439, 745, 164, 788 is 10566492940.
2. How to calculate the LCM of 439, 745, 164, 788?
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 439, 745, 164, 788.
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}.