LCM of 897, 273, 858, 611, 150
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 897, 273, 858, 611, 150 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, 273, 858, 611, 150. So, keep reading to learn more.
Given numbers are 897,273,858,611,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 897,273,858,611,150 is 162312150.
Find LCM of 897,273,858,611,150 with Prime Factorization
| 2 | 897, 273, 858, 611, 150 |
| 3 | 897, 273, 429, 611, 75 |
| 13 | 299, 91, 143, 611, 25 |
| 23, 7, 11, 47, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 7 x 11 x 47 x 25 = 162312150
Therefore, the lowest common multiple of 897,273,858,611,150 is 162312150.
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 273 x 858 x 611 x 150 = 19256388851700
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
273 : 1, 3, 7, 13, 21, 39, 91, 273
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
611 : 1, 13, 47, 611
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,273,858,611,150, is 1.
Now, the common factors can be found like this.
897:3x 13x 23
273:3x 7x 13
858:2x 3x 11x 13
611:13x 47
150:2x 3x 5x 5
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 13x 13x 13 = 118638
Therefore, the value for common factors is 118638.
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 = 19256388851700/(1x118638)
LCM = 19256388851700/118638
LCM = 162312150
Thus, we can understand that the LCM of 897,273,858,611,150 is 162312150.
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FAQs on LCM of 897, 273, 858, 611, 150
1. What is the LCM of 897, 273, 858, 611, 150?
Answer: LCM of 897, 273, 858, 611, 150 is 162312150.
2. How to calculate the LCM of 897, 273, 858, 611, 150?
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, 273, 858, 611, 150.
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}.