LCM of 897, 562, 988, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 562, 988, 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 897, 562, 988, 828. So, keep reading to learn more.
Given numbers are 897,562,988,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,562,988,828 is 57468996.
Find LCM of 897,562,988,828 with Prime Factorization
| 2 | 897, 562, 988, 828 |
| 2 | 897, 281, 494, 414 |
| 3 | 897, 281, 247, 207 |
| 13 | 299, 281, 247, 69 |
| 23 | 23, 281, 19, 69 |
| 1, 281, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 1 x 281 x 19 x 3 = 57468996
Therefore, the lowest common multiple of 897,562,988,828 is 57468996.
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.
897 x 562 x 988 x 828 = 412397515296
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.
897 : 1, 3, 13, 23, 39, 69, 299, 897
562 : 1, 2, 281, 562
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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 897,562,988,828, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
562:2x 281
988:2x 2x 13x 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 3x 13x 23 = 7176
Therefore, the value for common factors is 7176.
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 = 412397515296/(1x7176)
LCM = 412397515296/7176
LCM = 57468996
Thus, we can understand that the LCM of 897,562,988,828 is 57468996.
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FAQs on LCM of 897, 562, 988, 828
1. What is the LCM of 897, 562, 988, 828?
Answer: LCM of 897, 562, 988, 828 is 57468996.
2. How to calculate the LCM of 897, 562, 988, 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 897, 562, 988, 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}.