Find the LCM of 140, 960, 240, 717, 493 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 140, 960, 240, 717, 493. So, keep reading to learn more.
Given numbers are 140,960,240,717,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,960,240,717,493 is 791797440.
Find LCM of 140,960,240,717,493 with Prime Factorization
2 | 140, 960, 240, 717, 493 |
2 | 70, 480, 120, 717, 493 |
2 | 35, 240, 60, 717, 493 |
2 | 35, 120, 30, 717, 493 |
3 | 35, 60, 15, 717, 493 |
5 | 35, 20, 5, 239, 493 |
7, 4, 1, 239, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 4 x 1 x 239 x 493 = 791797440
Therefore, the lowest common multiple of 140,960,240,717,493 is 791797440.
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.
140 x 960 x 240 x 717 x 493 = 11401883136000
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
717 : 1, 3, 239, 717
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,960,240,717,493, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
960:2x 2x 2x 2x 2x 2x 3x 5
240:2x 2x 2x 2x 3x 5
717:3x 239
493:17x 29
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 2x 2x 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 11401883136000/(1x14400)
LCM = 11401883136000/14400
LCM = 791797440
Thus, we can understand that the LCM of 140,960,240,717,493 is 791797440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 140, 960, 240, 717, 493?
Answer: LCM of 140, 960, 240, 717, 493 is 791797440.
2. How to calculate the LCM of 140, 960, 240, 717, 493?
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 140, 960, 240, 717, 493.
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}.