LCM of 838, 279, 544, 507, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 279, 544, 507, 576 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 838, 279, 544, 507, 576. So, keep reading to learn more.
Given numbers are 838,279,544,507,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,279,544,507,576 is 21494820672.
Find LCM of 838,279,544,507,576 with Prime Factorization
| 2 | 838, 279, 544, 507, 576 |
| 2 | 419, 279, 272, 507, 288 |
| 2 | 419, 279, 136, 507, 144 |
| 2 | 419, 279, 68, 507, 72 |
| 2 | 419, 279, 34, 507, 36 |
| 3 | 419, 279, 17, 507, 18 |
| 3 | 419, 93, 17, 169, 6 |
| 419, 31, 17, 169, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 419 x 31 x 17 x 169 x 2 = 21494820672
Therefore, the lowest common multiple of 838,279,544,507,576 is 21494820672.
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.
838 x 279 x 544 x 507 x 576 = 37143050121216
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.
838 : 1, 2, 419, 838
279 : 1, 3, 9, 31, 93, 279
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
507 : 1, 3, 13, 39, 169, 507
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,279,544,507,576, is 1.
Now, the common factors can be found like this.
838:2x 419
279:3x 3x 31
544:2x 2x 2x 2x 2x 17
507:3x 13x 13
576:2x 2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 37143050121216/(1x1728)
LCM = 37143050121216/1728
LCM = 21494820672
Thus, we can understand that the LCM of 838,279,544,507,576 is 21494820672.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 838, 279, 544, 507, 576
1. What is the LCM of 838, 279, 544, 507, 576?
Answer: LCM of 838, 279, 544, 507, 576 is 21494820672.
2. How to calculate the LCM of 838, 279, 544, 507, 576?
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 838, 279, 544, 507, 576.
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}.