LCM of 187, 750, 288, 825, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 750, 288, 825, 502 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 187, 750, 288, 825, 502. So, keep reading to learn more.
Given numbers are 187,750,288,825,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,750,288,825,502 is 1689732000.
Find LCM of 187,750,288,825,502 with Prime Factorization
| 2 | 187, 750, 288, 825, 502 |
| 3 | 187, 375, 144, 825, 251 |
| 5 | 187, 125, 48, 275, 251 |
| 5 | 187, 25, 48, 55, 251 |
| 11 | 187, 5, 48, 11, 251 |
| 17, 5, 48, 1, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 11 x 17 x 5 x 48 x 1 x 251 = 1689732000
Therefore, the lowest common multiple of 187,750,288,825,502 is 1689732000.
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.
187 x 750 x 288 x 825 x 502 = 16728346800000
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.
187 : 1, 11, 17, 187
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,750,288,825,502, is 1.
Now, the common factors can be found like this.
187:11x 17
750:2x 3x 5x 5x 5
288:2x 2x 2x 2x 2x 3x 3
825:3x 5x 5x 11
502:2x 251
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 11 = 9900
Therefore, the value for common factors is 9900.
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 = 16728346800000/(1x9900)
LCM = 16728346800000/9900
LCM = 1689732000
Thus, we can understand that the LCM of 187,750,288,825,502 is 1689732000.
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FAQs on LCM of 187, 750, 288, 825, 502
1. What is the LCM of 187, 750, 288, 825, 502?
Answer: LCM of 187, 750, 288, 825, 502 is 1689732000.
2. How to calculate the LCM of 187, 750, 288, 825, 502?
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 187, 750, 288, 825, 502.
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}.