LCM of 506, 684, 988, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 684, 988, 442 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 506, 684, 988, 442. So, keep reading to learn more.
Given numbers are 506,684,988,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,684,988,442 is 38244492.
Find LCM of 506,684,988,442 with Prime Factorization
| 2 | 506, 684, 988, 442 |
| 2 | 253, 342, 494, 221 |
| 13 | 253, 171, 247, 221 |
| 19 | 253, 171, 19, 17 |
| 253, 9, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 253 x 9 x 1 x 17 = 38244492
Therefore, the lowest common multiple of 506,684,988,442 is 38244492.
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.
506 x 684 x 988 x 442 = 151142232384
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
442 : 1, 2, 13, 17, 26, 34, 221, 442
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,684,988,442, is 2.
Now, the common factors can be found like this.
506:2x 11x 23
684:2x 2x 3x 3x 19
988:2x 2x 13x 19
442:2x 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.
2x 2x 2x 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 151142232384/(2x1976)
LCM = 151142232384/3952
LCM = 38244492
Thus, we can understand that the LCM of 506,684,988,442 is 38244492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 506, 684, 988, 442
1. What is the LCM of 506, 684, 988, 442?
Answer: LCM of 506, 684, 988, 442 is 38244492.
2. How to calculate the LCM of 506, 684, 988, 442?
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 506, 684, 988, 442.
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}.