LCM of 682, 750, 306, 594, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 750, 306, 594, 282 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 682, 750, 306, 594, 282. So, keep reading to learn more.
Given numbers are 682,750,306,594,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,750,306,594,282 is 1839098250.
Find LCM of 682,750,306,594,282 with Prime Factorization
| 2 | 682, 750, 306, 594, 282 |
| 3 | 341, 375, 153, 297, 141 |
| 3 | 341, 125, 51, 99, 47 |
| 11 | 341, 125, 17, 33, 47 |
| 31, 125, 17, 3, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 31 x 125 x 17 x 3 x 47 = 1839098250
Therefore, the lowest common multiple of 682,750,306,594,282 is 1839098250.
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.
682 x 750 x 306 x 594 x 282 = 26218184652000
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
282 : 1, 2, 3, 6, 47, 94, 141, 282
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,750,306,594,282, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
750:2x 3x 5x 5x 5
306:2x 3x 3x 17
594:2x 3x 3x 3x 11
282:2x 3x 47
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 3x 3x 3x 3x 11 = 7128
Therefore, the value for common factors is 7128.
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 = 26218184652000/(2x7128)
LCM = 26218184652000/14256
LCM = 1839098250
Thus, we can understand that the LCM of 682,750,306,594,282 is 1839098250.
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FAQs on LCM of 682, 750, 306, 594, 282
1. What is the LCM of 682, 750, 306, 594, 282?
Answer: LCM of 682, 750, 306, 594, 282 is 1839098250.
2. How to calculate the LCM of 682, 750, 306, 594, 282?
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 682, 750, 306, 594, 282.
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}.