LCM of 422, 850, 300, 955
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 850, 300, 955 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 422, 850, 300, 955. So, keep reading to learn more.
Given numbers are 422,850,300,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,850,300,955 is 205535100.
Find LCM of 422,850,300,955 with Prime Factorization
| 2 | 422, 850, 300, 955 |
| 5 | 211, 425, 150, 955 |
| 5 | 211, 85, 30, 191 |
| 211, 17, 6, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 211 x 17 x 6 x 191 = 205535100
Therefore, the lowest common multiple of 422,850,300,955 is 205535100.
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.
422 x 850 x 300 x 955 = 102767550000
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.
422 : 1, 2, 211, 422
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,850,300,955, is 1.
Now, the common factors can be found like this.
422:2x 211
850:2x 5x 5x 17
300:2x 2x 3x 5x 5
955:5x 191
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 102767550000/(1x500)
LCM = 102767550000/500
LCM = 205535100
Thus, we can understand that the LCM of 422,850,300,955 is 205535100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 850, 300, 955
1. What is the LCM of 422, 850, 300, 955?
Answer: LCM of 422, 850, 300, 955 is 205535100.
2. How to calculate the LCM of 422, 850, 300, 955?
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 422, 850, 300, 955.
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}.