Find the LCM of 358, 334, 442, 334, 172 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 358, 334, 442, 334, 172. So, keep reading to learn more.
Given numbers are 358,334,442,334,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,334,442,334,172 is 1136292716.
Find LCM of 358,334,442,334,172 with Prime Factorization
2 | 358, 334, 442, 334, 172 |
167 | 179, 167, 221, 167, 86 |
179, 1, 221, 1, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 167 x 179 x 1 x 221 x 1 x 86 = 1136292716
Therefore, the lowest common multiple of 358,334,442,334,172 is 1136292716.
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.
358 x 334 x 442 x 334 x 172 = 3036174137152
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.
358 : 1, 2, 179, 358
334 : 1, 2, 167, 334
442 : 1, 2, 13, 17, 26, 34, 221, 442
334 : 1, 2, 167, 334
172 : 1, 2, 4, 43, 86, 172
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,334,442,334,172, is 2.
Now, the common factors can be found like this.
358:2x 179
334:2x 167
442:2x 13x 17
334:2x 167
172:2x 2x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 167 = 1336
Therefore, the value for common factors is 1336.
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 = 3036174137152/(2x1336)
LCM = 3036174137152/2672
LCM = 1136292716
Thus, we can understand that the LCM of 358,334,442,334,172 is 1136292716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 334, 442, 334, 172?
Answer: LCM of 358, 334, 442, 334, 172 is 1136292716.
2. How to calculate the LCM of 358, 334, 442, 334, 172?
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 358, 334, 442, 334, 172.
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}.