Find the LCM of 140, 140, 585, 416, 708 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, 140, 585, 416, 708. So, keep reading to learn more.
Given numbers are 140,140,585,416,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,140,585,416,708 is 7731360.
Find LCM of 140,140,585,416,708 with Prime Factorization
2 | 140, 140, 585, 416, 708 |
2 | 70, 70, 585, 208, 354 |
3 | 35, 35, 585, 104, 177 |
5 | 35, 35, 195, 104, 59 |
7 | 7, 7, 39, 104, 59 |
13 | 1, 1, 39, 104, 59 |
1, 1, 3, 8, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 1 x 1 x 3 x 8 x 59 = 7731360
Therefore, the lowest common multiple of 140,140,585,416,708 is 7731360.
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 140 x 585 x 416 x 708 = 3377058048000
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
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,140,585,416,708, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
140:2x 2x 5x 7
585:3x 3x 5x 13
416:2x 2x 2x 2x 2x 13
708:2x 2x 3x 59
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 5x 5x 7x 13 = 436800
Therefore, the value for common factors is 436800.
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 = 3377058048000/(1x436800)
LCM = 3377058048000/436800
LCM = 7731360
Thus, we can understand that the LCM of 140,140,585,416,708 is 7731360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 140, 140, 585, 416, 708?
Answer: LCM of 140, 140, 585, 416, 708 is 7731360.
2. How to calculate the LCM of 140, 140, 585, 416, 708?
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, 140, 585, 416, 708.
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}.