LCM of 130, 502, 978, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 502, 978, 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 130, 502, 978, 510. So, keep reading to learn more.
Given numbers are 130,502,978,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,502,978,510 is 271253190.
Find LCM of 130,502,978,510 with Prime Factorization
| 2 | 130, 502, 978, 510 |
| 3 | 65, 251, 489, 255 |
| 5 | 65, 251, 163, 85 |
| 13, 251, 163, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 251 x 163 x 17 = 271253190
Therefore, the lowest common multiple of 130,502,978,510 is 271253190.
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.
130 x 502 x 978 x 510 = 32550382800
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
502 : 1, 2, 251, 502
978 : 1, 2, 3, 6, 163, 326, 489, 978
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,502,978,510, is 2.
Now, the common factors can be found like this.
130:2x 5x 13
502:2x 251
978:2x 3x 163
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 32550382800/(2x60)
LCM = 32550382800/120
LCM = 271253190
Thus, we can understand that the LCM of 130,502,978,510 is 271253190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 130, 502, 978, 510
1. What is the LCM of 130, 502, 978, 510?
Answer: LCM of 130, 502, 978, 510 is 271253190.
2. How to calculate the LCM of 130, 502, 978, 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 130, 502, 978, 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}.