LCM of 323, 548, 644, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 548, 644, 874 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 323, 548, 644, 874. So, keep reading to learn more.
Given numbers are 323,548,644,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,548,644,874 is 28497644.
Find LCM of 323,548,644,874 with Prime Factorization
| 2 | 323, 548, 644, 874 |
| 2 | 323, 274, 322, 437 |
| 19 | 323, 137, 161, 437 |
| 23 | 17, 137, 161, 23 |
| 17, 137, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 17 x 137 x 7 x 1 = 28497644
Therefore, the lowest common multiple of 323,548,644,874 is 28497644.
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.
323 x 548 x 644 x 874 = 99627763424
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.
323 : 1, 17, 19, 323
548 : 1, 2, 4, 137, 274, 548
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,548,644,874, is 1.
Now, the common factors can be found like this.
323:17x 19
548:2x 2x 137
644:2x 2x 7x 23
874:2x 19x 23
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 19x 23 = 3496
Therefore, the value for common factors is 3496.
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 = 99627763424/(1x3496)
LCM = 99627763424/3496
LCM = 28497644
Thus, we can understand that the LCM of 323,548,644,874 is 28497644.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 323, 548, 644, 874
1. What is the LCM of 323, 548, 644, 874?
Answer: LCM of 323, 548, 644, 874 is 28497644.
2. How to calculate the LCM of 323, 548, 644, 874?
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 323, 548, 644, 874.
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}.