LCM of 621, 803, 519, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 803, 519, 838 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 621, 803, 519, 838. So, keep reading to learn more.
Given numbers are 621,803,519,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,803,519,838 is 72293169762.
Find LCM of 621,803,519,838 with Prime Factorization
| 3 | 621, 803, 519, 838 |
| 207, 803, 173, 838 |
Multiply the prime numbers at the bottom and the left side.
3 x 207 x 803 x 173 x 838 = 72293169762
Therefore, the lowest common multiple of 621,803,519,838 is 72293169762.
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.
621 x 803 x 519 x 838 = 216879509286
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
803 : 1, 11, 73, 803
519 : 1, 3, 173, 519
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,803,519,838, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
803:11x 73
519:3x 173
838:2x 419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 216879509286/(1x3)
LCM = 216879509286/3
LCM = 72293169762
Thus, we can understand that the LCM of 621,803,519,838 is 72293169762.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 621, 803, 519, 838
1. What is the LCM of 621, 803, 519, 838?
Answer: LCM of 621, 803, 519, 838 is 72293169762.
2. How to calculate the LCM of 621, 803, 519, 838?
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 621, 803, 519, 838.
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}.