LCM of 850, 414, 556, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 850, 414, 556, 184 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 850, 414, 556, 184. So, keep reading to learn more.
Given numbers are 850,414,556,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,414,556,184 is 97828200.
Find LCM of 850,414,556,184 with Prime Factorization
| 2 | 850, 414, 556, 184 |
| 2 | 425, 207, 278, 92 |
| 23 | 425, 207, 139, 46 |
| 425, 9, 139, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 425 x 9 x 139 x 2 = 97828200
Therefore, the lowest common multiple of 850,414,556,184 is 97828200.
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.
850 x 414 x 556 x 184 = 36000777600
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
556 : 1, 2, 4, 139, 278, 556
184 : 1, 2, 4, 8, 23, 46, 92, 184
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,414,556,184, is 2.
Now, the common factors can be found like this.
850:2x 5x 5x 17
414:2x 3x 3x 23
556:2x 2x 139
184:2x 2x 2x 23
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 23 = 184
Therefore, the value for common factors is 184.
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 = 36000777600/(2x184)
LCM = 36000777600/368
LCM = 97828200
Thus, we can understand that the LCM of 850,414,556,184 is 97828200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 850, 414, 556, 184
1. What is the LCM of 850, 414, 556, 184?
Answer: LCM of 850, 414, 556, 184 is 97828200.
2. How to calculate the LCM of 850, 414, 556, 184?
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 850, 414, 556, 184.
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}.