LCM of 955, 195, 849, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 195, 849, 147 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 955, 195, 849, 147. So, keep reading to learn more.
Given numbers are 955,195,849,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,195,849,147 is 516476415.
Find LCM of 955,195,849,147 with Prime Factorization
| 3 | 955, 195, 849, 147 |
| 5 | 955, 65, 283, 49 |
| 191, 13, 283, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 191 x 13 x 283 x 49 = 516476415
Therefore, the lowest common multiple of 955,195,849,147 is 516476415.
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.
955 x 195 x 849 x 147 = 23241438675
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.
955 : 1, 5, 191, 955
195 : 1, 3, 5, 13, 15, 39, 65, 195
849 : 1, 3, 283, 849
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,195,849,147, is 1.
Now, the common factors can be found like this.
955:5x 191
195:3x 5x 13
849:3x 283
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 23241438675/(1x45)
LCM = 23241438675/45
LCM = 516476415
Thus, we can understand that the LCM of 955,195,849,147 is 516476415.
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FAQs on LCM of 955, 195, 849, 147
1. What is the LCM of 955, 195, 849, 147?
Answer: LCM of 955, 195, 849, 147 is 516476415.
2. How to calculate the LCM of 955, 195, 849, 147?
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 955, 195, 849, 147.
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}.