Find the LCM of 965, 963, 540, 652, 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 965, 963, 540, 652, 978. So, keep reading to learn more.
Given numbers are 965,963,540,652,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,963,540,652,978 is 1817701020.
Find LCM of 965,963,540,652,978 with Prime Factorization
2 | 965, 963, 540, 652, 978 |
2 | 965, 963, 270, 326, 489 |
3 | 965, 963, 135, 163, 489 |
3 | 965, 321, 45, 163, 163 |
5 | 965, 107, 15, 163, 163 |
163 | 193, 107, 3, 163, 163 |
193, 107, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 163 x 193 x 107 x 3 x 1 x 1 = 1817701020
Therefore, the lowest common multiple of 965,963,540,652,978 is 1817701020.
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.
965 x 963 x 540 x 652 x 978 = 319988087560800
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.
965 : 1, 5, 193, 965
963 : 1, 3, 9, 107, 321, 963
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
652 : 1, 2, 4, 163, 326, 652
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 965,963,540,652,978, is 1.
Now, the common factors can be found like this.
965:5x 193
963:3x 3x 107
540:2x 2x 3x 3x 3x 5
652:2x 2x 163
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 3x 3x 3x 5x 163 = 176040
Therefore, the value for common factors is 176040.
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 = 319988087560800/(1x176040)
LCM = 319988087560800/176040
LCM = 1817701020
Thus, we can understand that the LCM of 965,963,540,652,978 is 1817701020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 963, 540, 652, 978?
Answer: LCM of 965, 963, 540, 652, 978 is 1817701020.
2. How to calculate the LCM of 965, 963, 540, 652, 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 965, 963, 540, 652, 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}.