LCM of 978, 494, 978, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 494, 978, 882 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 978, 494, 978, 882. So, keep reading to learn more.
Given numbers are 978,494,978,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,494,978,882 is 35510202.
Find LCM of 978,494,978,882 with Prime Factorization
| 2 | 978, 494, 978, 882 |
| 3 | 489, 247, 489, 441 |
| 163 | 163, 247, 163, 147 |
| 1, 247, 1, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 1 x 247 x 1 x 147 = 35510202
Therefore, the lowest common multiple of 978,494,978,882 is 35510202.
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.
978 x 494 x 978 x 882 = 416747730672
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
494 : 1, 2, 13, 19, 26, 38, 247, 494
978 : 1, 2, 3, 6, 163, 326, 489, 978
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,494,978,882, is 2.
Now, the common factors can be found like this.
978:2x 3x 163
494:2x 13x 19
978:2x 3x 163
882:2x 3x 3x 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 2x 3x 3x 163 = 5868
Therefore, the value for common factors is 5868.
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 = 416747730672/(2x5868)
LCM = 416747730672/11736
LCM = 35510202
Thus, we can understand that the LCM of 978,494,978,882 is 35510202.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 978, 494, 978, 882
1. What is the LCM of 978, 494, 978, 882?
Answer: LCM of 978, 494, 978, 882 is 35510202.
2. How to calculate the LCM of 978, 494, 978, 882?
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 978, 494, 978, 882.
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}.