Find the LCM of 599, 138, 365, 860, 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 599, 138, 365, 860, 978. So, keep reading to learn more.
Given numbers are 599,138,365,860,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,138,365,860,978 is 422945909340.
Find LCM of 599,138,365,860,978 with Prime Factorization
2 | 599, 138, 365, 860, 978 |
3 | 599, 69, 365, 430, 489 |
5 | 599, 23, 365, 430, 163 |
599, 23, 73, 86, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 599 x 23 x 73 x 86 x 163 = 422945909340
Therefore, the lowest common multiple of 599,138,365,860,978 is 422945909340.
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.
599 x 138 x 365 x 860 x 978 = 25376754560400
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.
599 : 1, 599
138 : 1, 2, 3, 6, 23, 46, 69, 138
365 : 1, 5, 73, 365
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
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 599,138,365,860,978, is 1.
Now, the common factors can be found like this.
599:599
138:2x 3x 23
365:5x 73
860:2x 2x 5x 43
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 25376754560400/(1x60)
LCM = 25376754560400/60
LCM = 422945909340
Thus, we can understand that the LCM of 599,138,365,860,978 is 422945909340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 599, 138, 365, 860, 978?
Answer: LCM of 599, 138, 365, 860, 978 is 422945909340.
2. How to calculate the LCM of 599, 138, 365, 860, 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 599, 138, 365, 860, 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}.