LCM of 330, 109, 466, 407, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 109, 466, 407, 763 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 330, 109, 466, 407, 763. So, keep reading to learn more.
Given numbers are 330,109,466,407,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,109,466,407,763 is 2170681590.
Find LCM of 330,109,466,407,763 with Prime Factorization
| 2 | 330, 109, 466, 407, 763 |
| 11 | 165, 109, 233, 407, 763 |
| 109 | 15, 109, 233, 37, 763 |
| 15, 1, 233, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 109 x 15 x 1 x 233 x 37 x 7 = 2170681590
Therefore, the lowest common multiple of 330,109,466,407,763 is 2170681590.
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.
330 x 109 x 466 x 407 x 763 = 5205294452820
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
109 : 1, 109
466 : 1, 2, 233, 466
407 : 1, 11, 37, 407
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,109,466,407,763, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
109:109
466:2x 233
407:11x 37
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 109 = 2398
Therefore, the value for common factors is 2398.
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 = 5205294452820/(1x2398)
LCM = 5205294452820/2398
LCM = 2170681590
Thus, we can understand that the LCM of 330,109,466,407,763 is 2170681590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 330, 109, 466, 407, 763
1. What is the LCM of 330, 109, 466, 407, 763?
Answer: LCM of 330, 109, 466, 407, 763 is 2170681590.
2. How to calculate the LCM of 330, 109, 466, 407, 763?
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 330, 109, 466, 407, 763.
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}.