LCM of 552, 666, 489, 760, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 666, 489, 760, 828 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 552, 666, 489, 760, 828. So, keep reading to learn more.
Given numbers are 552,666,489,760,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,666,489,760,828 is 948796920.
Find LCM of 552,666,489,760,828 with Prime Factorization
| 2 | 552, 666, 489, 760, 828 |
| 2 | 276, 333, 489, 380, 414 |
| 2 | 138, 333, 489, 190, 207 |
| 3 | 69, 333, 489, 95, 207 |
| 3 | 23, 111, 163, 95, 69 |
| 23 | 23, 37, 163, 95, 23 |
| 1, 37, 163, 95, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 23 x 1 x 37 x 163 x 95 x 1 = 948796920
Therefore, the lowest common multiple of 552,666,489,760,828 is 948796920.
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.
552 x 666 x 489 x 760 x 828 = 113126954365440
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
489 : 1, 3, 163, 489
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,666,489,760,828, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
666:2x 3x 3x 37
489:3x 163
760:2x 2x 2x 5x 19
828:2x 2x 3x 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 2x 2x 3x 3x 3x 3x 23 = 119232
Therefore, the value for common factors is 119232.
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 = 113126954365440/(1x119232)
LCM = 113126954365440/119232
LCM = 948796920
Thus, we can understand that the LCM of 552,666,489,760,828 is 948796920.
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FAQs on LCM of 552, 666, 489, 760, 828
1. What is the LCM of 552, 666, 489, 760, 828?
Answer: LCM of 552, 666, 489, 760, 828 is 948796920.
2. How to calculate the LCM of 552, 666, 489, 760, 828?
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 552, 666, 489, 760, 828.
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}.