LCM of 224, 112, 802, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 112, 802, 966 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 224, 112, 802, 966. So, keep reading to learn more.
Given numbers are 224,112,802,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,112,802,966 is 6197856.
Find LCM of 224,112,802,966 with Prime Factorization
| 2 | 224, 112, 802, 966 |
| 2 | 112, 56, 401, 483 |
| 2 | 28, 56, 401, 483 |
| 2 | 14, 28, 401, 483 |
| 7 | 7, 14, 401, 483 |
| 1, 2, 401, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 1 x 2 x 401 x 69 = 6197856
Therefore, the lowest common multiple of 224,112,802,966 is 6197856.
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.
224 x 112 x 802 x 966 = 19436476416
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
802 : 1, 2, 401, 802
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,112,802,966, is 2.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
112:2x 2x 2x 2x 7
802:2x 401
966:2x 3x 7x 23
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 2x 2x 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 19436476416/(2x1568)
LCM = 19436476416/3136
LCM = 6197856
Thus, we can understand that the LCM of 224,112,802,966 is 6197856.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 224, 112, 802, 966
1. What is the LCM of 224, 112, 802, 966?
Answer: LCM of 224, 112, 802, 966 is 6197856.
2. How to calculate the LCM of 224, 112, 802, 966?
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 224, 112, 802, 966.
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}.