Find the LCM of 795, 530, 850, 778, 167 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 795, 530, 850, 778, 167. So, keep reading to learn more.
Given numbers are 795,530,850,778,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,530,850,778,167 is 8779749450.
Find LCM of 795,530,850,778,167 with Prime Factorization
2 | 795, 530, 850, 778, 167 |
5 | 795, 265, 425, 389, 167 |
53 | 159, 53, 85, 389, 167 |
3, 1, 85, 389, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 53 x 3 x 1 x 85 x 389 x 167 = 8779749450
Therefore, the lowest common multiple of 795,530,850,778,167 is 8779749450.
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.
795 x 530 x 850 x 778 x 167 = 46532672085000
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.
795 : 1, 3, 5, 15, 53, 159, 265, 795
530 : 1, 2, 5, 10, 53, 106, 265, 530
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
778 : 1, 2, 389, 778
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,530,850,778,167, is 1.
Now, the common factors can be found like this.
795:3x 5x 53
530:2x 5x 53
850:2x 5x 5x 17
778:2x 389
167:167
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 5x 5x 53 = 5300
Therefore, the value for common factors is 5300.
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 = 46532672085000/(1x5300)
LCM = 46532672085000/5300
LCM = 8779749450
Thus, we can understand that the LCM of 795,530,850,778,167 is 8779749450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 795, 530, 850, 778, 167?
Answer: LCM of 795, 530, 850, 778, 167 is 8779749450.
2. How to calculate the LCM of 795, 530, 850, 778, 167?
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 795, 530, 850, 778, 167.
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}.