LCM of 180, 284, 360, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 284, 360, 971 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 180, 284, 360, 971. So, keep reading to learn more.
Given numbers are 180,284,360,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,284,360,971 is 24818760.
Find LCM of 180,284,360,971 with Prime Factorization
| 2 | 180, 284, 360, 971 |
| 2 | 90, 142, 180, 971 |
| 3 | 45, 71, 90, 971 |
| 3 | 15, 71, 30, 971 |
| 5 | 5, 71, 10, 971 |
| 1, 71, 2, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 1 x 71 x 2 x 971 = 24818760
Therefore, the lowest common multiple of 180,284,360,971 is 24818760.
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.
180 x 284 x 360 x 971 = 17869507200
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
284 : 1, 2, 4, 71, 142, 284
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
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,284,360,971, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
284:2x 2x 71
360:2x 2x 2x 3x 3x 5
971:971
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 17869507200/(1x720)
LCM = 17869507200/720
LCM = 24818760
Thus, we can understand that the LCM of 180,284,360,971 is 24818760.
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FAQs on LCM of 180, 284, 360, 971
1. What is the LCM of 180, 284, 360, 971?
Answer: LCM of 180, 284, 360, 971 is 24818760.
2. How to calculate the LCM of 180, 284, 360, 971?
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 180, 284, 360, 971.
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}.