LCM of 762, 550, 605, 129, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 550, 605, 129, 330 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 762, 550, 605, 129, 330. So, keep reading to learn more.
Given numbers are 762,550,605,129,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,550,605,129,330 is 99117150.
Find LCM of 762,550,605,129,330 with Prime Factorization
| 2 | 762, 550, 605, 129, 330 |
| 3 | 381, 275, 605, 129, 165 |
| 5 | 127, 275, 605, 43, 55 |
| 11 | 127, 11, 121, 43, 55 |
| 127, 1, 11, 43, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 127 x 1 x 11 x 43 x 5 = 99117150
Therefore, the lowest common multiple of 762,550,605,129,330 is 99117150.
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.
762 x 550 x 605 x 129 x 330 = 10793857635000
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
605 : 1, 5, 11, 55, 121, 605
129 : 1, 3, 43, 129
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,550,605,129,330, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
550:2x 5x 5x 11
605:5x 11x 11
129:3x 43
330:2x 3x 5x 11
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 3x 3x 5x 5x 11x 11 = 108900
Therefore, the value for common factors is 108900.
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 = 10793857635000/(1x108900)
LCM = 10793857635000/108900
LCM = 99117150
Thus, we can understand that the LCM of 762,550,605,129,330 is 99117150.
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FAQs on LCM of 762, 550, 605, 129, 330
1. What is the LCM of 762, 550, 605, 129, 330?
Answer: LCM of 762, 550, 605, 129, 330 is 99117150.
2. How to calculate the LCM of 762, 550, 605, 129, 330?
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 762, 550, 605, 129, 330.
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}.