Find the LCM of 838, 783, 728, 750, 700 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 838, 783, 728, 750, 700. So, keep reading to learn more.
Given numbers are 838,783,728,750,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,783,728,750,700 is 29855007000.
Find LCM of 838,783,728,750,700 with Prime Factorization
2 | 838, 783, 728, 750, 700 |
2 | 419, 783, 364, 375, 350 |
3 | 419, 783, 182, 375, 175 |
5 | 419, 261, 182, 125, 175 |
5 | 419, 261, 182, 25, 35 |
7 | 419, 261, 182, 5, 7 |
419, 261, 26, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 7 x 419 x 261 x 26 x 5 x 1 = 29855007000
Therefore, the lowest common multiple of 838,783,728,750,700 is 29855007000.
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.
838 x 783 x 728 x 750 x 700 = 250782058800000
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.
838 : 1, 2, 419, 838
783 : 1, 3, 9, 27, 29, 87, 261, 783
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,783,728,750,700, is 1.
Now, the common factors can be found like this.
838:2x 419
783:3x 3x 3x 29
728:2x 2x 2x 7x 13
750:2x 3x 5x 5x 5
700:2x 2x 5x 5x 7
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 5x 5x 7 = 8400
Therefore, the value for common factors is 8400.
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 = 250782058800000/(1x8400)
LCM = 250782058800000/8400
LCM = 29855007000
Thus, we can understand that the LCM of 838,783,728,750,700 is 29855007000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 838, 783, 728, 750, 700?
Answer: LCM of 838, 783, 728, 750, 700 is 29855007000.
2. How to calculate the LCM of 838, 783, 728, 750, 700?
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 838, 783, 728, 750, 700.
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}.