Find the LCM of 701, 957, 459, 308, 224 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 701, 957, 459, 308, 224. So, keep reading to learn more.
Given numbers are 701,957,459,308,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,957,459,308,224 is 22991611104.
Find LCM of 701,957,459,308,224 with Prime Factorization
2 | 701, 957, 459, 308, 224 |
2 | 701, 957, 459, 154, 112 |
3 | 701, 957, 459, 77, 56 |
7 | 701, 319, 153, 77, 56 |
11 | 701, 319, 153, 11, 8 |
701, 29, 153, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 701 x 29 x 153 x 1 x 8 = 22991611104
Therefore, the lowest common multiple of 701,957,459,308,224 is 22991611104.
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.
701 x 957 x 459 x 308 x 224 = 21244248660096
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.
701 : 1, 701
957 : 1, 3, 11, 29, 33, 87, 319, 957
459 : 1, 3, 9, 17, 27, 51, 153, 459
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,957,459,308,224, is 1.
Now, the common factors can be found like this.
701:701
957:3x 11x 29
459:3x 3x 3x 17
308:2x 2x 7x 11
224:2x 2x 2x 2x 2x 7
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 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 21244248660096/(1x924)
LCM = 21244248660096/924
LCM = 22991611104
Thus, we can understand that the LCM of 701,957,459,308,224 is 22991611104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 701, 957, 459, 308, 224?
Answer: LCM of 701, 957, 459, 308, 224 is 22991611104.
2. How to calculate the LCM of 701, 957, 459, 308, 224?
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 701, 957, 459, 308, 224.
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}.