Find the LCM of 169, 697, 357, 340 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 169, 697, 357, 340. So, keep reading to learn more.
Given numbers are 169,697,357,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,697,357,340 is 49473060.
Find LCM of 169,697,357,340 with Prime Factorization
17 | 169, 697, 357, 340 |
169, 41, 21, 20 |
Multiply the prime numbers at the bottom and the left side.
17 x 169 x 41 x 21 x 20 = 49473060
Therefore, the lowest common multiple of 169,697,357,340 is 49473060.
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.
169 x 697 x 357 x 340 = 14297714340
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.
169 : 1, 13, 169
697 : 1, 17, 41, 697
357 : 1, 3, 7, 17, 21, 51, 119, 357
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,697,357,340, is 1.
Now, the common factors can be found like this.
169:13x 13
697:17x 41
357:3x 7x 17
340:2x 2x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17 = 289
Therefore, the value for common factors is 289.
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 = 14297714340/(1x289)
LCM = 14297714340/289
LCM = 49473060
Thus, we can understand that the LCM of 169,697,357,340 is 49473060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 697, 357, 340?
Answer: LCM of 169, 697, 357, 340 is 49473060.
2. How to calculate the LCM of 169, 697, 357, 340?
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 169, 697, 357, 340.
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}.