Find the LCM of 240, 171, 238, 722, 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 240, 171, 238, 722, 540. So, keep reading to learn more.
Given numbers are 240,171,238,722,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,171,238,722,540 is 92791440.
Find LCM of 240,171,238,722,540 with Prime Factorization
2 | 240, 171, 238, 722, 540 |
2 | 120, 171, 119, 361, 270 |
3 | 60, 171, 119, 361, 135 |
3 | 20, 57, 119, 361, 45 |
5 | 20, 19, 119, 361, 15 |
19 | 4, 19, 119, 361, 3 |
4, 1, 119, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 19 x 4 x 1 x 119 x 19 x 3 = 92791440
Therefore, the lowest common multiple of 240,171,238,722,540 is 92791440.
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.
240 x 171 x 238 x 722 x 540 = 3808160697600
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
171 : 1, 3, 9, 19, 57, 171
238 : 1, 2, 7, 14, 17, 34, 119, 238
722 : 1, 2, 19, 38, 361, 722
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 240,171,238,722,540, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
171:3x 3x 19
238:2x 7x 17
722:2x 19x 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 2x 3x 3x 3x 5x 19 = 41040
Therefore, the value for common factors is 41040.
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 = 3808160697600/(1x41040)
LCM = 3808160697600/41040
LCM = 92791440
Thus, we can understand that the LCM of 240,171,238,722,540 is 92791440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 240, 171, 238, 722, 540?
Answer: LCM of 240, 171, 238, 722, 540 is 92791440.
2. How to calculate the LCM of 240, 171, 238, 722, 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 240, 171, 238, 722, 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}.