LCM of 938, 582, 583, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 938, 582, 583, 484 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 938, 582, 583, 484. So, keep reading to learn more.
Given numbers are 938,582,583,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,582,583,484 is 3500959308.
Find LCM of 938,582,583,484 with Prime Factorization
| 2 | 938, 582, 583, 484 |
| 11 | 469, 291, 583, 242 |
| 469, 291, 53, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 469 x 291 x 53 x 22 = 3500959308
Therefore, the lowest common multiple of 938,582,583,484 is 3500959308.
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.
938 x 582 x 583 x 484 = 154042209552
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
582 : 1, 2, 3, 6, 97, 194, 291, 582
583 : 1, 11, 53, 583
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,582,583,484, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
582:2x 3x 97
583:11x 53
484:2x 2x 11x 11
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 11 = 44
Therefore, the value for common factors is 44.
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 = 154042209552/(1x44)
LCM = 154042209552/44
LCM = 3500959308
Thus, we can understand that the LCM of 938,582,583,484 is 3500959308.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 938, 582, 583, 484
1. What is the LCM of 938, 582, 583, 484?
Answer: LCM of 938, 582, 583, 484 is 3500959308.
2. How to calculate the LCM of 938, 582, 583, 484?
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 938, 582, 583, 484.
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}.