Find the LCM of 978, 187, 539, 994 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, 187, 539, 994. So, keep reading to learn more.
Given numbers are 978,187,539,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,187,539,994 is 636260394.
Find LCM of 978,187,539,994 with Prime Factorization
2 | 978, 187, 539, 994 |
7 | 489, 187, 539, 497 |
11 | 489, 187, 77, 71 |
489, 17, 7, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 489 x 17 x 7 x 71 = 636260394
Therefore, the lowest common multiple of 978,187,539,994 is 636260394.
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 187 x 539 x 994 = 97984100676
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
187 : 1, 11, 17, 187
539 : 1, 7, 11, 49, 77, 539
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,187,539,994, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
187:11x 17
539:7x 7x 11
994:2x 7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 97984100676/(1x154)
LCM = 97984100676/154
LCM = 636260394
Thus, we can understand that the LCM of 978,187,539,994 is 636260394.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 187, 539, 994?
Answer: LCM of 978, 187, 539, 994 is 636260394.
2. How to calculate the LCM of 978, 187, 539, 994?
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, 187, 539, 994.
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}.