LCM of 182, 500, 750, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 500, 750, 882 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 182, 500, 750, 882. So, keep reading to learn more.
Given numbers are 182,500,750,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,500,750,882 is 2866500.
Find LCM of 182,500,750,882 with Prime Factorization
| 2 | 182, 500, 750, 882 |
| 3 | 91, 250, 375, 441 |
| 5 | 91, 250, 125, 147 |
| 5 | 91, 50, 25, 147 |
| 5 | 91, 10, 5, 147 |
| 7 | 91, 2, 1, 147 |
| 13, 2, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 5 x 7 x 13 x 2 x 1 x 21 = 2866500
Therefore, the lowest common multiple of 182,500,750,882 is 2866500.
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.
182 x 500 x 750 x 882 = 60196500000
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,500,750,882, is 2.
Now, the common factors can be found like this.
182:2x 7x 13
500:2x 2x 5x 5x 5
750:2x 3x 5x 5x 5
882:2x 3x 3x 7x 7
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 5x 5x 5x 7 = 10500
Therefore, the value for common factors is 10500.
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 = 60196500000/(2x10500)
LCM = 60196500000/21000
LCM = 2866500
Thus, we can understand that the LCM of 182,500,750,882 is 2866500.
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FAQs on LCM of 182, 500, 750, 882
1. What is the LCM of 182, 500, 750, 882?
Answer: LCM of 182, 500, 750, 882 is 2866500.
2. How to calculate the LCM of 182, 500, 750, 882?
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 182, 500, 750, 882.
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}.