LCM of 407, 320, 187, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 320, 187, 869 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 407, 320, 187, 869. So, keep reading to learn more.
Given numbers are 407,320,187,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,320,187,869 is 174912320.
Find LCM of 407,320,187,869 with Prime Factorization
| 11 | 407, 320, 187, 869 |
| 37, 320, 17, 79 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 320 x 17 x 79 = 174912320
Therefore, the lowest common multiple of 407,320,187,869 is 174912320.
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.
407 x 320 x 187 x 869 = 21164390720
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.
407 : 1, 11, 37, 407
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
187 : 1, 11, 17, 187
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,320,187,869, is 1.
Now, the common factors can be found like this.
407:11x 37
320:2x 2x 2x 2x 2x 2x 5
187:11x 17
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 21164390720/(1x121)
LCM = 21164390720/121
LCM = 174912320
Thus, we can understand that the LCM of 407,320,187,869 is 174912320.
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FAQs on LCM of 407, 320, 187, 869
1. What is the LCM of 407, 320, 187, 869?
Answer: LCM of 407, 320, 187, 869 is 174912320.
2. How to calculate the LCM of 407, 320, 187, 869?
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 407, 320, 187, 869.
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}.