LCM of 879, 585, 264, 552, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 585, 264, 552, 138 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 879, 585, 264, 552, 138. So, keep reading to learn more.
Given numbers are 879,585,264,552,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,585,264,552,138 is 346923720.
Find LCM of 879,585,264,552,138 with Prime Factorization
| 2 | 879, 585, 264, 552, 138 |
| 2 | 879, 585, 132, 276, 69 |
| 2 | 879, 585, 66, 138, 69 |
| 3 | 879, 585, 33, 69, 69 |
| 23 | 293, 195, 11, 23, 23 |
| 293, 195, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 293 x 195 x 11 x 1 x 1 = 346923720
Therefore, the lowest common multiple of 879,585,264,552,138 is 346923720.
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.
879 x 585 x 264 x 552 x 138 = 10341102245760
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.
879 : 1, 3, 293, 879
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
138 : 1, 2, 3, 6, 23, 46, 69, 138
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,585,264,552,138, is 3.
Now, the common factors can be found like this.
879:3x 293
585:3x 3x 5x 13
264:2x 2x 2x 3x 11
552:2x 2x 2x 3x 23
138:2x 3x 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 2x 3x 3x 3x 23 = 9936
Therefore, the value for common factors is 9936.
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 = 10341102245760/(3x9936)
LCM = 10341102245760/29808
LCM = 346923720
Thus, we can understand that the LCM of 879,585,264,552,138 is 346923720.
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FAQs on LCM of 879, 585, 264, 552, 138
1. What is the LCM of 879, 585, 264, 552, 138?
Answer: LCM of 879, 585, 264, 552, 138 is 346923720.
2. How to calculate the LCM of 879, 585, 264, 552, 138?
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 879, 585, 264, 552, 138.
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}.