LCM of 180, 682, 282, 150, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 682, 282, 150, 946 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 180, 682, 282, 150, 946. So, keep reading to learn more.
Given numbers are 180,682,282,150,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,682,282,150,946 is 620244900.
Find LCM of 180,682,282,150,946 with Prime Factorization
| 2 | 180, 682, 282, 150, 946 |
| 3 | 90, 341, 141, 75, 473 |
| 5 | 30, 341, 47, 25, 473 |
| 11 | 6, 341, 47, 5, 473 |
| 6, 31, 47, 5, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 6 x 31 x 47 x 5 x 43 = 620244900
Therefore, the lowest common multiple of 180,682,282,150,946 is 620244900.
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.
180 x 682 x 282 x 150 x 946 = 4912339608000
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
682 : 1, 2, 11, 22, 31, 62, 341, 682
282 : 1, 2, 3, 6, 47, 94, 141, 282
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
946 : 1, 2, 11, 22, 43, 86, 473, 946
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,682,282,150,946, is 2.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
682:2x 11x 31
282:2x 3x 47
150:2x 3x 5x 5
946:2x 11x 43
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 5x 11 = 3960
Therefore, the value for common factors is 3960.
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 = 4912339608000/(2x3960)
LCM = 4912339608000/7920
LCM = 620244900
Thus, we can understand that the LCM of 180,682,282,150,946 is 620244900.
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FAQs on LCM of 180, 682, 282, 150, 946
1. What is the LCM of 180, 682, 282, 150, 946?
Answer: LCM of 180, 682, 282, 150, 946 is 620244900.
2. How to calculate the LCM of 180, 682, 282, 150, 946?
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 180, 682, 282, 150, 946.
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}.