Find the LCM of 140, 250, 826, 706 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, 250, 826, 706. So, keep reading to learn more.
Given numbers are 140,250,826,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,250,826,706 is 72894500.
Find LCM of 140,250,826,706 with Prime Factorization
2 | 140, 250, 826, 706 |
5 | 70, 125, 413, 353 |
7 | 14, 25, 413, 353 |
2, 25, 59, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 2 x 25 x 59 x 353 = 72894500
Therefore, the lowest common multiple of 140,250,826,706 is 72894500.
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 250 x 826 x 706 = 20410460000
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
250 : 1, 2, 5, 10, 25, 50, 125, 250
826 : 1, 2, 7, 14, 59, 118, 413, 826
706 : 1, 2, 353, 706
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,250,826,706, is 2.
Now, the common factors can be found like this.
140:2x 2x 5x 7
250:2x 5x 5x 5
826:2x 7x 59
706:2x 353
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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 20410460000/(2x140)
LCM = 20410460000/280
LCM = 72894500
Thus, we can understand that the LCM of 140,250,826,706 is 72894500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 140, 250, 826, 706?
Answer: LCM of 140, 250, 826, 706 is 72894500.
2. How to calculate the LCM of 140, 250, 826, 706?
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, 250, 826, 706.
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}.