LCM of 985, 895, 550, 400, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 895, 550, 400, 450 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 985, 895, 550, 400, 450. So, keep reading to learn more.
Given numbers are 985,895,550,400,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,895,550,400,450 is 1396414800.
Find LCM of 985,895,550,400,450 with Prime Factorization
| 2 | 985, 895, 550, 400, 450 |
| 5 | 985, 895, 275, 200, 225 |
| 5 | 197, 179, 55, 40, 45 |
| 197, 179, 11, 8, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 197 x 179 x 11 x 8 x 9 = 1396414800
Therefore, the lowest common multiple of 985,895,550,400,450 is 1396414800.
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.
985 x 895 x 550 x 400 x 450 = 87275925000000
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.
985 : 1, 5, 197, 985
895 : 1, 5, 179, 895
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,895,550,400,450, is 5.
Now, the common factors can be found like this.
985:5x 197
895:5x 179
550:2x 5x 5x 11
400:2x 2x 2x 2x 5x 5
450:2x 3x 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 2x 5x 5x 5x 5x 5 = 12500
Therefore, the value for common factors is 12500.
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 = 87275925000000/(5x12500)
LCM = 87275925000000/62500
LCM = 1396414800
Thus, we can understand that the LCM of 985,895,550,400,450 is 1396414800.
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FAQs on LCM of 985, 895, 550, 400, 450
1. What is the LCM of 985, 895, 550, 400, 450?
Answer: LCM of 985, 895, 550, 400, 450 is 1396414800.
2. How to calculate the LCM of 985, 895, 550, 400, 450?
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 985, 895, 550, 400, 450.
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}.