LCM of 978, 280, 772, 964, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 280, 772, 964, 657 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, 280, 772, 964, 657. So, keep reading to learn more.
Given numbers are 978,280,772,964,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,280,772,964,657 is 1394714631240.
Find LCM of 978,280,772,964,657 with Prime Factorization
| 2 | 978, 280, 772, 964, 657 |
| 2 | 489, 140, 386, 482, 657 |
| 3 | 489, 70, 193, 241, 657 |
| 163, 70, 193, 241, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 163 x 70 x 193 x 241 x 219 = 1394714631240
Therefore, the lowest common multiple of 978,280,772,964,657 is 1394714631240.
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 280 x 772 x 964 x 657 = 133892604599040
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
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
772 : 1, 2, 4, 193, 386, 772
964 : 1, 2, 4, 241, 482, 964
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,280,772,964,657, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
280:2x 2x 2x 5x 7
772:2x 2x 193
964:2x 2x 241
657:3x 3x 73
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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 133892604599040/(1x96)
LCM = 133892604599040/96
LCM = 1394714631240
Thus, we can understand that the LCM of 978,280,772,964,657 is 1394714631240.
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, 280, 772, 964, 657
1. What is the LCM of 978, 280, 772, 964, 657?
Answer: LCM of 978, 280, 772, 964, 657 is 1394714631240.
2. How to calculate the LCM of 978, 280, 772, 964, 657?
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, 280, 772, 964, 657.
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}.