LCM of 308, 170, 220, 950, 125
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 170, 220, 950, 125 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 308, 170, 220, 950, 125. So, keep reading to learn more.
Given numbers are 308,170,220,950,125
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,170,220,950,125 is 12435500.
Find LCM of 308,170,220,950,125 with Prime Factorization
| 2 | 308, 170, 220, 950, 125 |
| 2 | 154, 85, 110, 475, 125 |
| 5 | 77, 85, 55, 475, 125 |
| 5 | 77, 17, 11, 95, 25 |
| 11 | 77, 17, 11, 19, 5 |
| 7, 17, 1, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 11 x 7 x 17 x 1 x 19 x 5 = 12435500
Therefore, the lowest common multiple of 308,170,220,950,125 is 12435500.
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.
308 x 170 x 220 x 950 x 125 = 1367905000000
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
170 : 1, 2, 5, 10, 17, 34, 85, 170
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
125 : 1, 5, 25, 125
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,170,220,950,125, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
170:2x 5x 17
220:2x 2x 5x 11
950:2x 5x 5x 19
125:5x 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.
2x 2x 2x 2x 5x 5x 5x 5x 11 = 110000
Therefore, the value for common factors is 110000.
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 = 1367905000000/(1x110000)
LCM = 1367905000000/110000
LCM = 12435500
Thus, we can understand that the LCM of 308,170,220,950,125 is 12435500.
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FAQs on LCM of 308, 170, 220, 950, 125
1. What is the LCM of 308, 170, 220, 950, 125?
Answer: LCM of 308, 170, 220, 950, 125 is 12435500.
2. How to calculate the LCM of 308, 170, 220, 950, 125?
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 308, 170, 220, 950, 125.
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}.