Find the LCM of 160, 245, 901, 699, 238 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 160, 245, 901, 699, 238. So, keep reading to learn more.
Given numbers are 160,245,901,699,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 160,245,901,699,238 is 4937624160.
Find LCM of 160,245,901,699,238 with Prime Factorization
2 | 160, 245, 901, 699, 238 |
5 | 80, 245, 901, 699, 119 |
7 | 16, 49, 901, 699, 119 |
17 | 16, 7, 901, 699, 17 |
16, 7, 53, 699, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 17 x 16 x 7 x 53 x 699 x 1 = 4937624160
Therefore, the lowest common multiple of 160,245,901,699,238 is 4937624160.
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.
160 x 245 x 901 x 699 x 238 = 5875772750400
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.
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
245 : 1, 5, 7, 35, 49, 245
901 : 1, 17, 53, 901
699 : 1, 3, 233, 699
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,245,901,699,238, is 1.
Now, the common factors can be found like this.
160:2x 2x 2x 2x 2x 5
245:5x 7x 7
901:17x 53
699:3x 233
238:2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 17 = 1190
Therefore, the value for common factors is 1190.
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 = 5875772750400/(1x1190)
LCM = 5875772750400/1190
LCM = 4937624160
Thus, we can understand that the LCM of 160,245,901,699,238 is 4937624160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 160, 245, 901, 699, 238?
Answer: LCM of 160, 245, 901, 699, 238 is 4937624160.
2. How to calculate the LCM of 160, 245, 901, 699, 238?
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 160, 245, 901, 699, 238.
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}.