LCM of 909, 794, 106, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 794, 106, 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 909, 794, 106, 978. So, keep reading to learn more.
Given numbers are 909,794,106,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,794,106,978 is 6235163694.
Find LCM of 909,794,106,978 with Prime Factorization
| 2 | 909, 794, 106, 978 |
| 3 | 909, 397, 53, 489 |
| 303, 397, 53, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 303 x 397 x 53 x 163 = 6235163694
Therefore, the lowest common multiple of 909,794,106,978 is 6235163694.
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.
909 x 794 x 106 x 978 = 74821964328
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.
909 : 1, 3, 9, 101, 303, 909
794 : 1, 2, 397, 794
106 : 1, 2, 53, 106
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 909,794,106,978, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
794:2x 397
106:2x 53
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 3 = 12
Therefore, the value for common factors is 12.
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 = 74821964328/(1x12)
LCM = 74821964328/12
LCM = 6235163694
Thus, we can understand that the LCM of 909,794,106,978 is 6235163694.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 794, 106, 978
1. What is the LCM of 909, 794, 106, 978?
Answer: LCM of 909, 794, 106, 978 is 6235163694.
2. How to calculate the LCM of 909, 794, 106, 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 909, 794, 106, 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}.