LCM of 167, 671, 915, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 671, 915, 960 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, 671, 915, 960. So, keep reading to learn more.
Given numbers are 167,671,915,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,671,915,960 is 107574720.
Find LCM of 167,671,915,960 with Prime Factorization
| 3 | 167, 671, 915, 960 |
| 5 | 167, 671, 305, 320 |
| 61 | 167, 671, 61, 64 |
| 167, 11, 1, 64 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 61 x 167 x 11 x 1 x 64 = 107574720
Therefore, the lowest common multiple of 167,671,915,960 is 107574720.
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 671 x 915 x 960 = 98430868800
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
671 : 1, 11, 61, 671
915 : 1, 3, 5, 15, 61, 183, 305, 915
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,671,915,960, is 1.
Now, the common factors can be found like this.
167:167
671:11x 61
915:3x 5x 61
960:2x 2x 2x 2x 2x 2x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 61 = 915
Therefore, the value for common factors is 915.
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 = 98430868800/(1x915)
LCM = 98430868800/915
LCM = 107574720
Thus, we can understand that the LCM of 167,671,915,960 is 107574720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 167, 671, 915, 960
1. What is the LCM of 167, 671, 915, 960?
Answer: LCM of 167, 671, 915, 960 is 107574720.
2. How to calculate the LCM of 167, 671, 915, 960?
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, 671, 915, 960.
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}.