LCM of 509, 552, 122, 138, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 509, 552, 122, 138, 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 509, 552, 122, 138, 874. So, keep reading to learn more.
Given numbers are 509,552,122,138,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,552,122,138,874 is 325641912.
Find LCM of 509,552,122,138,874 with Prime Factorization
| 2 | 509, 552, 122, 138, 874 |
| 3 | 509, 276, 61, 69, 437 |
| 23 | 509, 92, 61, 23, 437 |
| 509, 4, 61, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 509 x 4 x 61 x 1 x 19 = 325641912
Therefore, the lowest common multiple of 509,552,122,138,874 is 325641912.
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.
509 x 552 x 122 x 138 x 874 = 4134349714752
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.
509 : 1, 509
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
122 : 1, 2, 61, 122
138 : 1, 2, 3, 6, 23, 46, 69, 138
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 509,552,122,138,874, is 1.
Now, the common factors can be found like this.
509:509
552:2x 2x 2x 3x 23
122:2x 61
138:2x 3x 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 3x 23x 23 = 12696
Therefore, the value for common factors is 12696.
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 = 4134349714752/(1x12696)
LCM = 4134349714752/12696
LCM = 325641912
Thus, we can understand that the LCM of 509,552,122,138,874 is 325641912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 509, 552, 122, 138, 874
1. What is the LCM of 509, 552, 122, 138, 874?
Answer: LCM of 509, 552, 122, 138, 874 is 325641912.
2. How to calculate the LCM of 509, 552, 122, 138, 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 509, 552, 122, 138, 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}.