LCM of 367, 185, 407, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 367, 185, 407, 675 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 367, 185, 407, 675. So, keep reading to learn more.
Given numbers are 367,185,407,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 367,185,407,675 is 100824075.
Find LCM of 367,185,407,675 with Prime Factorization
| 5 | 367, 185, 407, 675 |
| 37 | 367, 37, 407, 135 |
| 367, 1, 11, 135 |
Multiply the prime numbers at the bottom and the left side.
5 x 37 x 367 x 1 x 11 x 135 = 100824075
Therefore, the lowest common multiple of 367,185,407,675 is 100824075.
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.
367 x 185 x 407 x 675 = 18652453875
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.
367 : 1, 367
185 : 1, 5, 37, 185
407 : 1, 11, 37, 407
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,185,407,675, is 1.
Now, the common factors can be found like this.
367:367
185:5x 37
407:11x 37
675:3x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 37 = 185
Therefore, the value for common factors is 185.
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 = 18652453875/(1x185)
LCM = 18652453875/185
LCM = 100824075
Thus, we can understand that the LCM of 367,185,407,675 is 100824075.
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FAQs on LCM of 367, 185, 407, 675
1. What is the LCM of 367, 185, 407, 675?
Answer: LCM of 367, 185, 407, 675 is 100824075.
2. How to calculate the LCM of 367, 185, 407, 675?
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 367, 185, 407, 675.
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}.