LCM of 978, 494, 221, 935, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 494, 221, 935, 636 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, 221, 935, 636. So, keep reading to learn more.
Given numbers are 978,494,221,935,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,494,221,935,636 is 23941606260.
Find LCM of 978,494,221,935,636 with Prime Factorization
| 2 | 978, 494, 221, 935, 636 |
| 3 | 489, 247, 221, 935, 318 |
| 13 | 163, 247, 221, 935, 106 |
| 17 | 163, 19, 17, 935, 106 |
| 163, 19, 1, 55, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 163 x 19 x 1 x 55 x 106 = 23941606260
Therefore, the lowest common multiple of 978,494,221,935,636 is 23941606260.
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 221 x 935 x 636 = 63493139801520
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
221 : 1, 13, 17, 221
935 : 1, 5, 11, 17, 55, 85, 187, 935
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,494,221,935,636, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
494:2x 13x 19
221:13x 17
935:5x 11x 17
636:2x 2x 3x 53
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 13x 17 = 2652
Therefore, the value for common factors is 2652.
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 = 63493139801520/(1x2652)
LCM = 63493139801520/2652
LCM = 23941606260
Thus, we can understand that the LCM of 978,494,221,935,636 is 23941606260.
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FAQs on LCM of 978, 494, 221, 935, 636
1. What is the LCM of 978, 494, 221, 935, 636?
Answer: LCM of 978, 494, 221, 935, 636 is 23941606260.
2. How to calculate the LCM of 978, 494, 221, 935, 636?
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, 221, 935, 636.
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}.