LCM of 923, 828, 897, 272, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 828, 897, 272, 978 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 923, 828, 897, 272, 978. So, keep reading to learn more.
Given numbers are 923,828,897,272,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,828,897,272,978 is 8470880496.
Find LCM of 923,828,897,272,978 with Prime Factorization
| 2 | 923, 828, 897, 272, 978 |
| 2 | 923, 414, 897, 136, 489 |
| 3 | 923, 207, 897, 68, 489 |
| 13 | 923, 69, 299, 68, 163 |
| 23 | 71, 69, 23, 68, 163 |
| 71, 3, 1, 68, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 71 x 3 x 1 x 68 x 163 = 8470880496
Therefore, the lowest common multiple of 923,828,897,272,978 is 8470880496.
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.
923 x 828 x 897 x 272 x 978 = 182361115317888
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.
923 : 1, 13, 71, 923
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
897 : 1, 3, 13, 23, 39, 69, 299, 897
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,828,897,272,978, is 1.
Now, the common factors can be found like this.
923:13x 71
828:2x 2x 3x 3x 23
897:3x 13x 23
272:2x 2x 2x 2x 17
978:2x 3x 163
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 3x 13x 23 = 21528
Therefore, the value for common factors is 21528.
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 = 182361115317888/(1x21528)
LCM = 182361115317888/21528
LCM = 8470880496
Thus, we can understand that the LCM of 923,828,897,272,978 is 8470880496.
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FAQs on LCM of 923, 828, 897, 272, 978
1. What is the LCM of 923, 828, 897, 272, 978?
Answer: LCM of 923, 828, 897, 272, 978 is 8470880496.
2. How to calculate the LCM of 923, 828, 897, 272, 978?
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 923, 828, 897, 272, 978.
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}.