LCM of 975, 200, 242, 750, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 200, 242, 750, 489 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 975, 200, 242, 750, 489. So, keep reading to learn more.
Given numbers are 975,200,242,750,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,200,242,750,489 is 769197000.
Find LCM of 975,200,242,750,489 with Prime Factorization
| 2 | 975, 200, 242, 750, 489 |
| 3 | 975, 100, 121, 375, 489 |
| 5 | 325, 100, 121, 125, 163 |
| 5 | 65, 20, 121, 25, 163 |
| 13, 4, 121, 5, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 4 x 121 x 5 x 163 = 769197000
Therefore, the lowest common multiple of 975,200,242,750,489 is 769197000.
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.
975 x 200 x 242 x 750 x 489 = 17306932500000
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
242 : 1, 2, 11, 22, 121, 242
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,200,242,750,489, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
200:2x 2x 2x 5x 5
242:2x 11x 11
750:2x 3x 5x 5x 5
489:3x 163
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 3x 3x 5x 5x 5x 5 = 22500
Therefore, the value for common factors is 22500.
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 = 17306932500000/(1x22500)
LCM = 17306932500000/22500
LCM = 769197000
Thus, we can understand that the LCM of 975,200,242,750,489 is 769197000.
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FAQs on LCM of 975, 200, 242, 750, 489
1. What is the LCM of 975, 200, 242, 750, 489?
Answer: LCM of 975, 200, 242, 750, 489 is 769197000.
2. How to calculate the LCM of 975, 200, 242, 750, 489?
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 975, 200, 242, 750, 489.
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}.