LCM of 644, 213, 538, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 213, 538, 639 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 644, 213, 538, 639. So, keep reading to learn more.
Given numbers are 644,213,538,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,213,538,639 is 110697804.
Find LCM of 644,213,538,639 with Prime Factorization
| 2 | 644, 213, 538, 639 |
| 3 | 322, 213, 269, 639 |
| 71 | 322, 71, 269, 213 |
| 322, 1, 269, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 322 x 1 x 269 x 3 = 110697804
Therefore, the lowest common multiple of 644,213,538,639 is 110697804.
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.
644 x 213 x 538 x 639 = 47157264504
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
213 : 1, 3, 71, 213
538 : 1, 2, 269, 538
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,213,538,639, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
213:3x 71
538:2x 269
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 71 = 426
Therefore, the value for common factors is 426.
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 = 47157264504/(1x426)
LCM = 47157264504/426
LCM = 110697804
Thus, we can understand that the LCM of 644,213,538,639 is 110697804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 644, 213, 538, 639
1. What is the LCM of 644, 213, 538, 639?
Answer: LCM of 644, 213, 538, 639 is 110697804.
2. How to calculate the LCM of 644, 213, 538, 639?
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 644, 213, 538, 639.
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}.