LCM of 489, 154, 825, 852, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 154, 825, 852, 346 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 489, 154, 825, 852, 346. So, keep reading to learn more.
Given numbers are 489,154,825,852,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,154,825,852,346 is 46249179900.
Find LCM of 489,154,825,852,346 with Prime Factorization
| 2 | 489, 154, 825, 852, 346 |
| 3 | 489, 77, 825, 426, 173 |
| 11 | 163, 77, 275, 142, 173 |
| 163, 7, 25, 142, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 163 x 7 x 25 x 142 x 173 = 46249179900
Therefore, the lowest common multiple of 489,154,825,852,346 is 46249179900.
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.
489 x 154 x 825 x 852 x 346 = 18314675240400
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.
489 : 1, 3, 163, 489
154 : 1, 2, 7, 11, 14, 22, 77, 154
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,154,825,852,346, is 1.
Now, the common factors can be found like this.
489:3x 163
154:2x 7x 11
825:3x 5x 5x 11
852:2x 2x 3x 71
346:2x 173
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 18314675240400/(1x396)
LCM = 18314675240400/396
LCM = 46249179900
Thus, we can understand that the LCM of 489,154,825,852,346 is 46249179900.
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FAQs on LCM of 489, 154, 825, 852, 346
1. What is the LCM of 489, 154, 825, 852, 346?
Answer: LCM of 489, 154, 825, 852, 346 is 46249179900.
2. How to calculate the LCM of 489, 154, 825, 852, 346?
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 489, 154, 825, 852, 346.
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}.