LCM of 955, 596, 180, 302, 163
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 596, 180, 302, 163 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, 596, 180, 302, 163. So, keep reading to learn more.
Given numbers are 955,596,180,302,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,596,180,302,163 is 126083046060.
Find LCM of 955,596,180,302,163 with Prime Factorization
| 2 | 955, 596, 180, 302, 163 |
| 2 | 955, 298, 90, 151, 163 |
| 5 | 955, 149, 45, 151, 163 |
| 191, 149, 9, 151, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 191 x 149 x 9 x 151 x 163 = 126083046060
Therefore, the lowest common multiple of 955,596,180,302,163 is 126083046060.
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 596 x 180 x 302 x 163 = 5043321842400
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
596 : 1, 2, 4, 149, 298, 596
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
302 : 1, 2, 151, 302
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,596,180,302,163, is 1.
Now, the common factors can be found like this.
955:5x 191
596:2x 2x 149
180:2x 2x 3x 3x 5
302:2x 151
163:163
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 5 = 40
Therefore, the value for common factors is 40.
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 = 5043321842400/(1x40)
LCM = 5043321842400/40
LCM = 126083046060
Thus, we can understand that the LCM of 955,596,180,302,163 is 126083046060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 955, 596, 180, 302, 163
1. What is the LCM of 955, 596, 180, 302, 163?
Answer: LCM of 955, 596, 180, 302, 163 is 126083046060.
2. How to calculate the LCM of 955, 596, 180, 302, 163?
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, 596, 180, 302, 163.
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}.