LCM of 663, 456, 330, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 456, 330, 735 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 663, 456, 330, 735. So, keep reading to learn more.
Given numbers are 663,456,330,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,456,330,735 is 271591320.
Find LCM of 663,456,330,735 with Prime Factorization
| 2 | 663, 456, 330, 735 |
| 3 | 663, 228, 165, 735 |
| 5 | 221, 76, 55, 245 |
| 221, 76, 11, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 221 x 76 x 11 x 49 = 271591320
Therefore, the lowest common multiple of 663,456,330,735 is 271591320.
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.
663 x 456 x 330 x 735 = 73329656400
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,456,330,735, is 3.
Now, the common factors can be found like this.
663:3x 13x 17
456:2x 2x 2x 3x 19
330:2x 3x 5x 11
735:3x 5x 7x 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 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 = 73329656400/(3x90)
LCM = 73329656400/270
LCM = 271591320
Thus, we can understand that the LCM of 663,456,330,735 is 271591320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 663, 456, 330, 735
1. What is the LCM of 663, 456, 330, 735?
Answer: LCM of 663, 456, 330, 735 is 271591320.
2. How to calculate the LCM of 663, 456, 330, 735?
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 663, 456, 330, 735.
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}.