Find the LCM of 685, 949, 959, 178 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 685, 949, 959, 178. So, keep reading to learn more.
Given numbers are 685,949,959,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,949,959,178 is 809980990.
Find LCM of 685,949,959,178 with Prime Factorization
137 | 685, 949, 959, 178 |
5, 949, 7, 178 |
Multiply the prime numbers at the bottom and the left side.
137 x 5 x 949 x 7 x 178 = 809980990
Therefore, the lowest common multiple of 685,949,959,178 is 809980990.
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.
685 x 949 x 959 x 178 = 110967395630
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.
685 : 1, 5, 137, 685
949 : 1, 13, 73, 949
959 : 1, 7, 137, 959
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,949,959,178, is 1.
Now, the common factors can be found like this.
685:5x 137
949:13x 73
959:7x 137
178:2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
137 = 137
Therefore, the value for common factors is 137.
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 = 110967395630/(1x137)
LCM = 110967395630/137
LCM = 809980990
Thus, we can understand that the LCM of 685,949,959,178 is 809980990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 949, 959, 178?
Answer: LCM of 685, 949, 959, 178 is 809980990.
2. How to calculate the LCM of 685, 949, 959, 178?
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 685, 949, 959, 178.
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}.