LCM of 385, 637, 819, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 637, 819, 884 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 385, 637, 819, 884. So, keep reading to learn more.
Given numbers are 385,637,819,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,637,819,884 is 21441420.
Find LCM of 385,637,819,884 with Prime Factorization
| 7 | 385, 637, 819, 884 |
| 13 | 55, 91, 117, 884 |
| 55, 7, 9, 68 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 55 x 7 x 9 x 68 = 21441420
Therefore, the lowest common multiple of 385,637,819,884 is 21441420.
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.
385 x 637 x 819 x 884 = 177556399020
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
637 : 1, 7, 13, 49, 91, 637
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,637,819,884, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
637:7x 7x 13
819:3x 3x 7x 13
884:2x 2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 13x 13 = 8281
Therefore, the value for common factors is 8281.
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 = 177556399020/(1x8281)
LCM = 177556399020/8281
LCM = 21441420
Thus, we can understand that the LCM of 385,637,819,884 is 21441420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 385, 637, 819, 884
1. What is the LCM of 385, 637, 819, 884?
Answer: LCM of 385, 637, 819, 884 is 21441420.
2. How to calculate the LCM of 385, 637, 819, 884?
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 385, 637, 819, 884.
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}.