LCM of 305, 300, 760, 220, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 300, 760, 220, 484 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 305, 300, 760, 220, 484. So, keep reading to learn more.
Given numbers are 305,300,760,220,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,300,760,220,484 is 84143400.
Find LCM of 305,300,760,220,484 with Prime Factorization
| 2 | 305, 300, 760, 220, 484 |
| 2 | 305, 150, 380, 110, 242 |
| 5 | 305, 75, 190, 55, 121 |
| 11 | 61, 15, 38, 11, 121 |
| 61, 15, 38, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 61 x 15 x 38 x 1 x 11 = 84143400
Therefore, the lowest common multiple of 305,300,760,220,484 is 84143400.
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.
305 x 300 x 760 x 220 x 484 = 7404619200000
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.
305 : 1, 5, 61, 305
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,300,760,220,484, is 1.
Now, the common factors can be found like this.
305:5x 61
300:2x 2x 3x 5x 5
760:2x 2x 2x 5x 19
220:2x 2x 5x 11
484:2x 2x 11x 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 2x 2x 2x 2x 5x 5x 5x 11 = 88000
Therefore, the value for common factors is 88000.
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 = 7404619200000/(1x88000)
LCM = 7404619200000/88000
LCM = 84143400
Thus, we can understand that the LCM of 305,300,760,220,484 is 84143400.
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FAQs on LCM of 305, 300, 760, 220, 484
1. What is the LCM of 305, 300, 760, 220, 484?
Answer: LCM of 305, 300, 760, 220, 484 is 84143400.
2. How to calculate the LCM of 305, 300, 760, 220, 484?
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 305, 300, 760, 220, 484.
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}.