LCM of 844, 795, 654, 856, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 795, 654, 856, 978 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 844, 795, 654, 856, 978. So, keep reading to learn more.
Given numbers are 844,795,654,856,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,795,654,856,978 is 2551158555240.
Find LCM of 844,795,654,856,978 with Prime Factorization
| 2 | 844, 795, 654, 856, 978 |
| 2 | 422, 795, 327, 428, 489 |
| 3 | 211, 795, 327, 214, 489 |
| 211, 265, 109, 214, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 211 x 265 x 109 x 214 x 163 = 2551158555240
Therefore, the lowest common multiple of 844,795,654,856,978 is 2551158555240.
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.
844 x 795 x 654 x 856 x 978 = 367366831954560
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.
844 : 1, 2, 4, 211, 422, 844
795 : 1, 3, 5, 15, 53, 159, 265, 795
654 : 1, 2, 3, 6, 109, 218, 327, 654
856 : 1, 2, 4, 8, 107, 214, 428, 856
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,795,654,856,978, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
795:3x 5x 53
654:2x 3x 109
856:2x 2x 2x 107
978:2x 3x 163
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 367366831954560/(1x144)
LCM = 367366831954560/144
LCM = 2551158555240
Thus, we can understand that the LCM of 844,795,654,856,978 is 2551158555240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 844, 795, 654, 856, 978
1. What is the LCM of 844, 795, 654, 856, 978?
Answer: LCM of 844, 795, 654, 856, 978 is 2551158555240.
2. How to calculate the LCM of 844, 795, 654, 856, 978?
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 844, 795, 654, 856, 978.
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}.