Find the LCM of 686, 701, 224, 736, 841 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 686, 701, 224, 736, 841. So, keep reading to learn more.
Given numbers are 686,701,224,736,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,701,224,736,841 is 148828446368.
Find LCM of 686,701,224,736,841 with Prime Factorization
2 | 686, 701, 224, 736, 841 |
2 | 343, 701, 112, 368, 841 |
2 | 343, 701, 56, 184, 841 |
2 | 343, 701, 28, 92, 841 |
2 | 343, 701, 14, 46, 841 |
7 | 343, 701, 7, 23, 841 |
49, 701, 1, 23, 841 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 49 x 701 x 1 x 23 x 841 = 148828446368
Therefore, the lowest common multiple of 686,701,224,736,841 is 148828446368.
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.
686 x 701 x 224 x 736 x 841 = 66675143972864
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
701 : 1, 701
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,701,224,736,841, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
701:701
224:2x 2x 2x 2x 2x 7
736:2x 2x 2x 2x 2x 23
841:29x 29
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 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 66675143972864/(1x448)
LCM = 66675143972864/448
LCM = 148828446368
Thus, we can understand that the LCM of 686,701,224,736,841 is 148828446368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 686, 701, 224, 736, 841?
Answer: LCM of 686, 701, 224, 736, 841 is 148828446368.
2. How to calculate the LCM of 686, 701, 224, 736, 841?
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 686, 701, 224, 736, 841.
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}.