LCM of 441, 630, 112, 969, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 630, 112, 969, 950 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, 630, 112, 969, 950. So, keep reading to learn more.
Given numbers are 441,630,112,969,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,630,112,969,950 is 56977200.
Find LCM of 441,630,112,969,950 with Prime Factorization
| 2 | 441, 630, 112, 969, 950 |
| 3 | 441, 315, 56, 969, 475 |
| 3 | 147, 105, 56, 323, 475 |
| 5 | 49, 35, 56, 323, 475 |
| 7 | 49, 7, 56, 323, 95 |
| 19 | 1, 7, 8, 323, 95 |
| 1, 7, 8, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 19 x 1 x 7 x 8 x 17 x 5 = 56977200
Therefore, the lowest common multiple of 441,630,112,969,950 is 56977200.
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 630 x 112 x 969 x 950 = 28644717528000
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
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
969 : 1, 3, 17, 19, 51, 57, 323, 969
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,630,112,969,950, is 1.
Now, the common factors can be found like this.
441:3x 3x 7x 7
630:2x 3x 3x 5x 7
112:2x 2x 2x 2x 7
969:3x 17x 19
950:2x 5x 5x 19
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 3x 5x 7x 7x 19 = 502740
Therefore, the value for common factors is 502740.
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 = 28644717528000/(1x502740)
LCM = 28644717528000/502740
LCM = 56977200
Thus, we can understand that the LCM of 441,630,112,969,950 is 56977200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 441, 630, 112, 969, 950
1. What is the LCM of 441, 630, 112, 969, 950?
Answer: LCM of 441, 630, 112, 969, 950 is 56977200.
2. How to calculate the LCM of 441, 630, 112, 969, 950?
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, 630, 112, 969, 950.
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}.