LCM of 945, 540, 794, 320, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 540, 794, 320, 842 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 945, 540, 794, 320, 842. So, keep reading to learn more.
Given numbers are 945,540,794,320,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,540,794,320,842 is 10108445760.
Find LCM of 945,540,794,320,842 with Prime Factorization
| 2 | 945, 540, 794, 320, 842 |
| 2 | 945, 270, 397, 160, 421 |
| 3 | 945, 135, 397, 80, 421 |
| 3 | 315, 45, 397, 80, 421 |
| 3 | 105, 15, 397, 80, 421 |
| 5 | 35, 5, 397, 80, 421 |
| 7, 1, 397, 16, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 7 x 1 x 397 x 16 x 421 = 10108445760
Therefore, the lowest common multiple of 945,540,794,320,842 is 10108445760.
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.
945 x 540 x 794 x 320 x 842 = 109171214208000
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
794 : 1, 2, 397, 794
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,540,794,320,842, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
540:2x 2x 3x 3x 3x 5
794:2x 397
320:2x 2x 2x 2x 2x 2x 5
842:2x 421
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 3x 5x 5 = 10800
Therefore, the value for common factors is 10800.
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 = 109171214208000/(1x10800)
LCM = 109171214208000/10800
LCM = 10108445760
Thus, we can understand that the LCM of 945,540,794,320,842 is 10108445760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 945, 540, 794, 320, 842
1. What is the LCM of 945, 540, 794, 320, 842?
Answer: LCM of 945, 540, 794, 320, 842 is 10108445760.
2. How to calculate the LCM of 945, 540, 794, 320, 842?
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 945, 540, 794, 320, 842.
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}.