Find the LCM of 167, 498, 153, 756, 436 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 167, 498, 153, 756, 436. So, keep reading to learn more.
Given numbers are 167,498,153,756,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,498,153,756,436 is 19417431348.
Find LCM of 167,498,153,756,436 with Prime Factorization
2 | 167, 498, 153, 756, 436 |
2 | 167, 249, 153, 378, 218 |
3 | 167, 249, 153, 189, 109 |
3 | 167, 83, 51, 63, 109 |
167, 83, 17, 21, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 167 x 83 x 17 x 21 x 109 = 19417431348
Therefore, the lowest common multiple of 167,498,153,756,436 is 19417431348.
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.
167 x 498 x 153 x 756 x 436 = 4194165171168
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.
167 : 1, 167
498 : 1, 2, 3, 6, 83, 166, 249, 498
153 : 1, 3, 9, 17, 51, 153
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,498,153,756,436, is 1.
Now, the common factors can be found like this.
167:167
498:2x 3x 83
153:3x 3x 17
756:2x 2x 3x 3x 3x 7
436:2x 2x 109
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 4194165171168/(1x216)
LCM = 4194165171168/216
LCM = 19417431348
Thus, we can understand that the LCM of 167,498,153,756,436 is 19417431348.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 167, 498, 153, 756, 436?
Answer: LCM of 167, 498, 153, 756, 436 is 19417431348.
2. How to calculate the LCM of 167, 498, 153, 756, 436?
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 167, 498, 153, 756, 436.
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}.