Find the LCM of 667, 169, 314, 169, 661 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 667, 169, 314, 169, 661. So, keep reading to learn more.
Given numbers are 667,169,314,169,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,169,314,169,661 is 23396109542.
Find LCM of 667,169,314,169,661 with Prime Factorization
13 | 667, 169, 314, 169, 661 |
13 | 667, 13, 314, 13, 661 |
667, 1, 314, 1, 661 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 667 x 1 x 314 x 1 x 661 = 23396109542
Therefore, the lowest common multiple of 667,169,314,169,661 is 23396109542.
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.
667 x 169 x 314 x 169 x 661 = 3953942512598
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.
667 : 1, 23, 29, 667
169 : 1, 13, 169
314 : 1, 2, 157, 314
169 : 1, 13, 169
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,169,314,169,661, is 1.
Now, the common factors can be found like this.
667:23x 29
169:13x 13
314:2x 157
169:13x 13
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 3953942512598/(1x169)
LCM = 3953942512598/169
LCM = 23396109542
Thus, we can understand that the LCM of 667,169,314,169,661 is 23396109542.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 667, 169, 314, 169, 661?
Answer: LCM of 667, 169, 314, 169, 661 is 23396109542.
2. How to calculate the LCM of 667, 169, 314, 169, 661?
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 667, 169, 314, 169, 661.
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}.