LCM of 805, 150, 981, 333, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 150, 981, 333, 785 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 805, 150, 981, 333, 785. So, keep reading to learn more.
Given numbers are 805,150,981,333,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,150,981,333,785 is 45873963450.
Find LCM of 805,150,981,333,785 with Prime Factorization
| 3 | 805, 150, 981, 333, 785 |
| 3 | 805, 50, 327, 111, 785 |
| 5 | 805, 50, 109, 37, 785 |
| 161, 10, 109, 37, 157 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 161 x 10 x 109 x 37 x 157 = 45873963450
Therefore, the lowest common multiple of 805,150,981,333,785 is 45873963450.
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.
805 x 150 x 981 x 333 x 785 = 30964925328750
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
981 : 1, 3, 9, 109, 327, 981
333 : 1, 3, 9, 37, 111, 333
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,150,981,333,785, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
150:2x 3x 5x 5
981:3x 3x 109
333:3x 3x 37
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5 = 675
Therefore, the value for common factors is 675.
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 = 30964925328750/(1x675)
LCM = 30964925328750/675
LCM = 45873963450
Thus, we can understand that the LCM of 805,150,981,333,785 is 45873963450.
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FAQs on LCM of 805, 150, 981, 333, 785
1. What is the LCM of 805, 150, 981, 333, 785?
Answer: LCM of 805, 150, 981, 333, 785 is 45873963450.
2. How to calculate the LCM of 805, 150, 981, 333, 785?
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 805, 150, 981, 333, 785.
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}.