Find the LCM of 167, 568, 355, 478, 628 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, 568, 355, 478, 628. So, keep reading to learn more.
Given numbers are 167,568,355,478,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,568,355,478,628 is 17796408440.
Find LCM of 167,568,355,478,628 with Prime Factorization
2 | 167, 568, 355, 478, 628 |
2 | 167, 284, 355, 239, 314 |
71 | 167, 142, 355, 239, 157 |
167, 2, 5, 239, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 71 x 167 x 2 x 5 x 239 x 157 = 17796408440
Therefore, the lowest common multiple of 167,568,355,478,628 is 17796408440.
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 568 x 355 x 478 x 628 = 10108359993920
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
568 : 1, 2, 4, 8, 71, 142, 284, 568
355 : 1, 5, 71, 355
478 : 1, 2, 239, 478
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,568,355,478,628, is 1.
Now, the common factors can be found like this.
167:167
568:2x 2x 2x 71
355:5x 71
478:2x 239
628:2x 2x 157
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 71 = 568
Therefore, the value for common factors is 568.
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 = 10108359993920/(1x568)
LCM = 10108359993920/568
LCM = 17796408440
Thus, we can understand that the LCM of 167,568,355,478,628 is 17796408440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 167, 568, 355, 478, 628?
Answer: LCM of 167, 568, 355, 478, 628 is 17796408440.
2. How to calculate the LCM of 167, 568, 355, 478, 628?
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, 568, 355, 478, 628.
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}.