LCM of 401, 399, 173, 870, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 399, 173, 870, 360 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 401, 399, 173, 870, 360. So, keep reading to learn more.
Given numbers are 401,399,173,870,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,399,173,870,360 is 96325797960.
Find LCM of 401,399,173,870,360 with Prime Factorization
| 2 | 401, 399, 173, 870, 360 |
| 3 | 401, 399, 173, 435, 180 |
| 5 | 401, 133, 173, 145, 60 |
| 401, 133, 173, 29, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 401 x 133 x 173 x 29 x 12 = 96325797960
Therefore, the lowest common multiple of 401,399,173,870,360 is 96325797960.
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.
401 x 399 x 173 x 870 x 360 = 8669321816400
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.
401 : 1, 401
399 : 1, 3, 7, 19, 21, 57, 133, 399
173 : 1, 173
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,399,173,870,360, is 1.
Now, the common factors can be found like this.
401:401
399:3x 7x 19
173:173
870:2x 3x 5x 29
360:2x 2x 2x 3x 3x 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 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 8669321816400/(1x90)
LCM = 8669321816400/90
LCM = 96325797960
Thus, we can understand that the LCM of 401,399,173,870,360 is 96325797960.
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FAQs on LCM of 401, 399, 173, 870, 360
1. What is the LCM of 401, 399, 173, 870, 360?
Answer: LCM of 401, 399, 173, 870, 360 is 96325797960.
2. How to calculate the LCM of 401, 399, 173, 870, 360?
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 401, 399, 173, 870, 360.
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}.