Find the LCM of 364, 768, 909, 766, 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 364, 768, 909, 766, 978. So, keep reading to learn more.
Given numbers are 364,768,909,766,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,768,909,766,978 is 1322000499456.
Find LCM of 364,768,909,766,978 with Prime Factorization
2 | 364, 768, 909, 766, 978 |
2 | 182, 384, 909, 383, 489 |
3 | 91, 192, 909, 383, 489 |
91, 64, 303, 383, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 91 x 64 x 303 x 383 x 163 = 1322000499456
Therefore, the lowest common multiple of 364,768,909,766,978 is 1322000499456.
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.
364 x 768 x 909 x 766 x 978 = 190368071921664
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
909 : 1, 3, 9, 101, 303, 909
766 : 1, 2, 383, 766
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 364,768,909,766,978, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 3
909:3x 3x 101
766:2x 383
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 = 190368071921664/(1x144)
LCM = 190368071921664/144
LCM = 1322000499456
Thus, we can understand that the LCM of 364,768,909,766,978 is 1322000499456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 768, 909, 766, 978?
Answer: LCM of 364, 768, 909, 766, 978 is 1322000499456.
2. How to calculate the LCM of 364, 768, 909, 766, 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 364, 768, 909, 766, 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}.