LCM of 785, 882, 900, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 882, 900, 915 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 785, 882, 900, 915. So, keep reading to learn more.
Given numbers are 785,882,900,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,882,900,915 is 422345700.
Find LCM of 785,882,900,915 with Prime Factorization
| 2 | 785, 882, 900, 915 |
| 3 | 785, 441, 450, 915 |
| 3 | 785, 147, 150, 305 |
| 5 | 785, 49, 50, 305 |
| 157, 49, 10, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 157 x 49 x 10 x 61 = 422345700
Therefore, the lowest common multiple of 785,882,900,915 is 422345700.
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.
785 x 882 x 900 x 915 = 570166695000
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.
785 : 1, 5, 157, 785
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,882,900,915, is 1.
Now, the common factors can be found like this.
785:5x 157
882:2x 3x 3x 7x 7
900:2x 2x 3x 3x 5x 5
915:3x 5x 61
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 5 = 1350
Therefore, the value for common factors is 1350.
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 = 570166695000/(1x1350)
LCM = 570166695000/1350
LCM = 422345700
Thus, we can understand that the LCM of 785,882,900,915 is 422345700.
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FAQs on LCM of 785, 882, 900, 915
1. What is the LCM of 785, 882, 900, 915?
Answer: LCM of 785, 882, 900, 915 is 422345700.
2. How to calculate the LCM of 785, 882, 900, 915?
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 785, 882, 900, 915.
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}.