LCM of 760, 385, 896, 909, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 385, 896, 909, 510 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 760, 385, 896, 909, 510. So, keep reading to learn more.
Given numbers are 760,385,896,909,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,385,896,909,510 is 14468952960.
Find LCM of 760,385,896,909,510 with Prime Factorization
| 2 | 760, 385, 896, 909, 510 |
| 2 | 380, 385, 448, 909, 255 |
| 2 | 190, 385, 224, 909, 255 |
| 3 | 95, 385, 112, 909, 255 |
| 5 | 95, 385, 112, 303, 85 |
| 7 | 19, 77, 112, 303, 17 |
| 19, 11, 16, 303, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 19 x 11 x 16 x 303 x 17 = 14468952960
Therefore, the lowest common multiple of 760,385,896,909,510 is 14468952960.
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.
760 x 385 x 896 x 909 x 510 = 121539204864000
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
385 : 1, 5, 7, 11, 35, 55, 77, 385
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
909 : 1, 3, 9, 101, 303, 909
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,385,896,909,510, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
385:5x 7x 11
896:2x 2x 2x 2x 2x 2x 2x 7
909:3x 3x 101
510:2x 3x 5x 17
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 3x 5x 5x 7 = 8400
Therefore, the value for common factors is 8400.
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 = 121539204864000/(1x8400)
LCM = 121539204864000/8400
LCM = 14468952960
Thus, we can understand that the LCM of 760,385,896,909,510 is 14468952960.
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FAQs on LCM of 760, 385, 896, 909, 510
1. What is the LCM of 760, 385, 896, 909, 510?
Answer: LCM of 760, 385, 896, 909, 510 is 14468952960.
2. How to calculate the LCM of 760, 385, 896, 909, 510?
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 760, 385, 896, 909, 510.
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}.