LCM of 972, 986, 750, 200, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 986, 750, 200, 405 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 972, 986, 750, 200, 405. So, keep reading to learn more.
Given numbers are 972,986,750,200,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,986,750,200,405 is 119799000.
Find LCM of 972,986,750,200,405 with Prime Factorization
| 2 | 972, 986, 750, 200, 405 |
| 2 | 486, 493, 375, 100, 405 |
| 3 | 243, 493, 375, 50, 405 |
| 3 | 81, 493, 125, 50, 135 |
| 3 | 27, 493, 125, 50, 45 |
| 3 | 9, 493, 125, 50, 15 |
| 5 | 3, 493, 125, 50, 5 |
| 5 | 3, 493, 25, 10, 1 |
| 3, 493, 5, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 3 x 493 x 5 x 2 x 1 = 119799000
Therefore, the lowest common multiple of 972,986,750,200,405 is 119799000.
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.
972 x 986 x 750 x 200 x 405 = 58222314000000
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
986 : 1, 2, 17, 29, 34, 58, 493, 986
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,986,750,200,405, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
986:2x 17x 29
750:2x 3x 5x 5x 5
200:2x 2x 2x 5x 5
405:3x 3x 3x 3x 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 2x 2x 3x 3x 3x 3x 3x 5x 5x 5 = 486000
Therefore, the value for common factors is 486000.
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 = 58222314000000/(1x486000)
LCM = 58222314000000/486000
LCM = 119799000
Thus, we can understand that the LCM of 972,986,750,200,405 is 119799000.
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FAQs on LCM of 972, 986, 750, 200, 405
1. What is the LCM of 972, 986, 750, 200, 405?
Answer: LCM of 972, 986, 750, 200, 405 is 119799000.
2. How to calculate the LCM of 972, 986, 750, 200, 405?
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 972, 986, 750, 200, 405.
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}.