LCM of 755, 885, 531, 614, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 885, 531, 614, 490 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 755, 885, 531, 614, 490. So, keep reading to learn more.
Given numbers are 755,885,531,614,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,885,531,614,490 is 12061627830.
Find LCM of 755,885,531,614,490 with Prime Factorization
| 2 | 755, 885, 531, 614, 490 |
| 3 | 755, 885, 531, 307, 245 |
| 5 | 755, 295, 177, 307, 245 |
| 59 | 151, 59, 177, 307, 49 |
| 151, 1, 3, 307, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 59 x 151 x 1 x 3 x 307 x 49 = 12061627830
Therefore, the lowest common multiple of 755,885,531,614,490 is 12061627830.
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.
755 x 885 x 531 x 614 x 490 = 106745406295500
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.
755 : 1, 5, 151, 755
885 : 1, 3, 5, 15, 59, 177, 295, 885
531 : 1, 3, 9, 59, 177, 531
614 : 1, 2, 307, 614
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,885,531,614,490, is 1.
Now, the common factors can be found like this.
755:5x 151
885:3x 5x 59
531:3x 3x 59
614:2x 307
490:2x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 59 = 8850
Therefore, the value for common factors is 8850.
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 = 106745406295500/(1x8850)
LCM = 106745406295500/8850
LCM = 12061627830
Thus, we can understand that the LCM of 755,885,531,614,490 is 12061627830.
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FAQs on LCM of 755, 885, 531, 614, 490
1. What is the LCM of 755, 885, 531, 614, 490?
Answer: LCM of 755, 885, 531, 614, 490 is 12061627830.
2. How to calculate the LCM of 755, 885, 531, 614, 490?
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 755, 885, 531, 614, 490.
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}.