LCM of 198, 247, 614, 130, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 247, 614, 130, 950 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 198, 247, 614, 130, 950. So, keep reading to learn more.
Given numbers are 198,247,614,130,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,247,614,130,950 is 375353550.
Find LCM of 198,247,614,130,950 with Prime Factorization
| 2 | 198, 247, 614, 130, 950 |
| 5 | 99, 247, 307, 65, 475 |
| 13 | 99, 247, 307, 13, 95 |
| 19 | 99, 19, 307, 1, 95 |
| 99, 1, 307, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 19 x 99 x 1 x 307 x 1 x 5 = 375353550
Therefore, the lowest common multiple of 198,247,614,130,950 is 375353550.
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.
198 x 247 x 614 x 130 x 950 = 3708493074000
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
247 : 1, 13, 19, 247
614 : 1, 2, 307, 614
130 : 1, 2, 5, 10, 13, 26, 65, 130
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,247,614,130,950, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
247:13x 19
614:2x 307
130:2x 5x 13
950:2x 5x 5x 19
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 5x 13x 19 = 9880
Therefore, the value for common factors is 9880.
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 = 3708493074000/(1x9880)
LCM = 3708493074000/9880
LCM = 375353550
Thus, we can understand that the LCM of 198,247,614,130,950 is 375353550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 198, 247, 614, 130, 950
1. What is the LCM of 198, 247, 614, 130, 950?
Answer: LCM of 198, 247, 614, 130, 950 is 375353550.
2. How to calculate the LCM of 198, 247, 614, 130, 950?
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 198, 247, 614, 130, 950.
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}.