LCM of 861, 975, 897, 698, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 975, 897, 698, 990 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 861, 975, 897, 698, 990. So, keep reading to learn more.
Given numbers are 861,975,897,698,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,975,897,698,990 is 148246248150.
Find LCM of 861,975,897,698,990 with Prime Factorization
| 2 | 861, 975, 897, 698, 990 |
| 3 | 861, 975, 897, 349, 495 |
| 5 | 287, 325, 299, 349, 165 |
| 13 | 287, 65, 299, 349, 33 |
| 287, 5, 23, 349, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 287 x 5 x 23 x 349 x 33 = 148246248150
Therefore, the lowest common multiple of 861,975,897,698,990 is 148246248150.
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.
861 x 975 x 897 x 698 x 990 = 520344331006500
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
897 : 1, 3, 13, 23, 39, 69, 299, 897
698 : 1, 2, 349, 698
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,975,897,698,990, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
975:3x 5x 5x 13
897:3x 13x 23
698:2x 349
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 13 = 3510
Therefore, the value for common factors is 3510.
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 = 520344331006500/(1x3510)
LCM = 520344331006500/3510
LCM = 148246248150
Thus, we can understand that the LCM of 861,975,897,698,990 is 148246248150.
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FAQs on LCM of 861, 975, 897, 698, 990
1. What is the LCM of 861, 975, 897, 698, 990?
Answer: LCM of 861, 975, 897, 698, 990 is 148246248150.
2. How to calculate the LCM of 861, 975, 897, 698, 990?
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 861, 975, 897, 698, 990.
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}.