LCM of 858, 100, 367, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 100, 367, 180 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 858, 100, 367, 180. So, keep reading to learn more.
Given numbers are 858,100,367,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,100,367,180 is 47232900.
Find LCM of 858,100,367,180 with Prime Factorization
| 2 | 858, 100, 367, 180 |
| 2 | 429, 50, 367, 90 |
| 3 | 429, 25, 367, 45 |
| 5 | 143, 25, 367, 15 |
| 143, 5, 367, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 143 x 5 x 367 x 3 = 47232900
Therefore, the lowest common multiple of 858,100,367,180 is 47232900.
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.
858 x 100 x 367 x 180 = 5667948000
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
367 : 1, 367
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,100,367,180, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
100:2x 2x 5x 5
367:367
180:2x 2x 3x 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.
2x 2x 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 5667948000/(1x120)
LCM = 5667948000/120
LCM = 47232900
Thus, we can understand that the LCM of 858,100,367,180 is 47232900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 858, 100, 367, 180
1. What is the LCM of 858, 100, 367, 180?
Answer: LCM of 858, 100, 367, 180 is 47232900.
2. How to calculate the LCM of 858, 100, 367, 180?
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 858, 100, 367, 180.
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}.