LCM of 987, 450, 575, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 450, 575, 412 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 987, 450, 575, 412. So, keep reading to learn more.
Given numbers are 987,450,575,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,450,575,412 is 701460900.
Find LCM of 987,450,575,412 with Prime Factorization
| 2 | 987, 450, 575, 412 |
| 3 | 987, 225, 575, 206 |
| 5 | 329, 75, 575, 206 |
| 5 | 329, 15, 115, 206 |
| 329, 3, 23, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 329 x 3 x 23 x 206 = 701460900
Therefore, the lowest common multiple of 987,450,575,412 is 701460900.
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.
987 x 450 x 575 x 412 = 105219135000
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
575 : 1, 5, 23, 25, 115, 575
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,450,575,412, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
450:2x 3x 3x 5x 5
575:5x 5x 23
412:2x 2x 103
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 105219135000/(1x150)
LCM = 105219135000/150
LCM = 701460900
Thus, we can understand that the LCM of 987,450,575,412 is 701460900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 987, 450, 575, 412
1. What is the LCM of 987, 450, 575, 412?
Answer: LCM of 987, 450, 575, 412 is 701460900.
2. How to calculate the LCM of 987, 450, 575, 412?
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 987, 450, 575, 412.
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}.