LCM of 932, 970, 960, 20
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 970, 960, 20 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 932, 970, 960, 20. So, keep reading to learn more.
Given numbers are 932,970,960,20
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,970,960,20 is 21696960.
Find LCM of 932,970,960,20 with Prime Factorization
| 2 | 932, 970, 960, 20 |
| 2 | 466, 485, 480, 10 |
| 5 | 233, 485, 240, 5 |
| 233, 97, 48, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 233 x 97 x 48 x 1 = 21696960
Therefore, the lowest common multiple of 932,970,960,20 is 21696960.
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.
932 x 970 x 960 x 20 = 17357568000
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.
932 : 1, 2, 4, 233, 466, 932
970 : 1, 2, 5, 10, 97, 194, 485, 970
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
20 : 1, 2, 4, 5, 10, 20
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,970,960,20, is 2.
Now, the common factors can be found like this.
932:2x 2x 233
970:2x 5x 97
960:2x 2x 2x 2x 2x 2x 3x 5
20:2x 2x 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 2x 2x 2x 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 17357568000/(2x400)
LCM = 17357568000/800
LCM = 21696960
Thus, we can understand that the LCM of 932,970,960,20 is 21696960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 932, 970, 960, 20
1. What is the LCM of 932, 970, 960, 20?
Answer: LCM of 932, 970, 960, 20 is 21696960.
2. How to calculate the LCM of 932, 970, 960, 20?
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 932, 970, 960, 20.
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}.