Find the LCM of 978, 907, 677, 677 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, 907, 677, 677. So, keep reading to learn more.
Given numbers are 978,907,677,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,907,677,677 is 600530142.
Find LCM of 978,907,677,677 with Prime Factorization
677 | 978, 907, 677, 677 |
978, 907, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
677 x 978 x 907 x 1 x 1 = 600530142
Therefore, the lowest common multiple of 978,907,677,677 is 600530142.
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 907 x 677 x 677 = 406558906134
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
907 : 1, 907
677 : 1, 677
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,907,677,677, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
907:907
677:677
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
677 = 677
Therefore, the value for common factors is 677.
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 = 406558906134/(1x677)
LCM = 406558906134/677
LCM = 600530142
Thus, we can understand that the LCM of 978,907,677,677 is 600530142.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 907, 677, 677?
Answer: LCM of 978, 907, 677, 677 is 600530142.
2. How to calculate the LCM of 978, 907, 677, 677?
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, 907, 677, 677.
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}.