LCM of 263, 660, 630, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 660, 630, 945 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 263, 660, 630, 945. So, keep reading to learn more.
Given numbers are 263,660,630,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,660,630,945 is 10935540.
Find LCM of 263,660,630,945 with Prime Factorization
| 2 | 263, 660, 630, 945 |
| 3 | 263, 330, 315, 945 |
| 3 | 263, 110, 105, 315 |
| 5 | 263, 110, 35, 105 |
| 7 | 263, 22, 7, 21 |
| 263, 22, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 263 x 22 x 1 x 3 = 10935540
Therefore, the lowest common multiple of 263,660,630,945 is 10935540.
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.
263 x 660 x 630 x 945 = 103340853000
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.
263 : 1, 263
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,660,630,945, is 1.
Now, the common factors can be found like this.
263:263
660:2x 2x 3x 5x 11
630:2x 3x 3x 5x 7
945:3x 3x 3x 5x 7
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 3x 5x 5x 7 = 9450
Therefore, the value for common factors is 9450.
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 = 103340853000/(1x9450)
LCM = 103340853000/9450
LCM = 10935540
Thus, we can understand that the LCM of 263,660,630,945 is 10935540.
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FAQs on LCM of 263, 660, 630, 945
1. What is the LCM of 263, 660, 630, 945?
Answer: LCM of 263, 660, 630, 945 is 10935540.
2. How to calculate the LCM of 263, 660, 630, 945?
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 263, 660, 630, 945.
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}.