LCM of 441, 782, 187, 981, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 782, 187, 981, 300 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 441, 782, 187, 981, 300. So, keep reading to learn more.
Given numbers are 441,782,187,981,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,782,187,981,300 is 20674476900.
Find LCM of 441,782,187,981,300 with Prime Factorization
| 2 | 441, 782, 187, 981, 300 |
| 3 | 441, 391, 187, 981, 150 |
| 3 | 147, 391, 187, 327, 50 |
| 17 | 49, 391, 187, 109, 50 |
| 49, 23, 11, 109, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 49 x 23 x 11 x 109 x 50 = 20674476900
Therefore, the lowest common multiple of 441,782,187,981,300 is 20674476900.
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.
441 x 782 x 187 x 981 x 300 = 18979169794200
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
782 : 1, 2, 17, 23, 34, 46, 391, 782
187 : 1, 11, 17, 187
981 : 1, 3, 9, 109, 327, 981
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,782,187,981,300, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
782:2x 17x 23
187:11x 17
981:3x 3x 109
300:2x 2x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 18979169794200/(1x918)
LCM = 18979169794200/918
LCM = 20674476900
Thus, we can understand that the LCM of 441,782,187,981,300 is 20674476900.
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FAQs on LCM of 441, 782, 187, 981, 300
1. What is the LCM of 441, 782, 187, 981, 300?
Answer: LCM of 441, 782, 187, 981, 300 is 20674476900.
2. How to calculate the LCM of 441, 782, 187, 981, 300?
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 441, 782, 187, 981, 300.
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}.