Find the LCM of 978, 148, 163, 171, 540 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, 148, 163, 171, 540. So, keep reading to learn more.
Given numbers are 978,148,163,171,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,148,163,171,540 is 61878060.
Find LCM of 978,148,163,171,540 with Prime Factorization
2 | 978, 148, 163, 171, 540 |
2 | 489, 74, 163, 171, 270 |
3 | 489, 37, 163, 171, 135 |
3 | 163, 37, 163, 57, 45 |
163 | 163, 37, 163, 19, 15 |
1, 37, 1, 19, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 163 x 1 x 37 x 1 x 19 x 15 = 61878060
Therefore, the lowest common multiple of 978,148,163,171,540 is 61878060.
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 148 x 163 x 171 x 540 = 2178602736480
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
148 : 1, 2, 4, 37, 74, 148
163 : 1, 163
171 : 1, 3, 9, 19, 57, 171
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,148,163,171,540, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
148:2x 2x 37
163:163
171:3x 3x 19
540:2x 2x 3x 3x 3x 5
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 163 = 35208
Therefore, the value for common factors is 35208.
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 = 2178602736480/(1x35208)
LCM = 2178602736480/35208
LCM = 61878060
Thus, we can understand that the LCM of 978,148,163,171,540 is 61878060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 148, 163, 171, 540?
Answer: LCM of 978, 148, 163, 171, 540 is 61878060.
2. How to calculate the LCM of 978, 148, 163, 171, 540?
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, 148, 163, 171, 540.
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}.