Find the LCM of 657, 347, 947, 994, 917 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 657, 347, 947, 994, 917. So, keep reading to learn more.
Given numbers are 657,347,947,994,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,347,947,994,917 is 28112696458182.
Find LCM of 657,347,947,994,917 with Prime Factorization
7 | 657, 347, 947, 994, 917 |
657, 347, 947, 142, 131 |
Multiply the prime numbers at the bottom and the left side.
7 x 657 x 347 x 947 x 142 x 131 = 28112696458182
Therefore, the lowest common multiple of 657,347,947,994,917 is 28112696458182.
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.
657 x 347 x 947 x 994 x 917 = 196788875207274
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.
657 : 1, 3, 9, 73, 219, 657
347 : 1, 347
947 : 1, 947
994 : 1, 2, 7, 14, 71, 142, 497, 994
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,347,947,994,917, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
347:347
947:947
994:2x 7x 71
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 196788875207274/(1x7)
LCM = 196788875207274/7
LCM = 28112696458182
Thus, we can understand that the LCM of 657,347,947,994,917 is 28112696458182.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 347, 947, 994, 917?
Answer: LCM of 657, 347, 947, 994, 917 is 28112696458182.
2. How to calculate the LCM of 657, 347, 947, 994, 917?
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 657, 347, 947, 994, 917.
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}.