Find the LCM of 750, 922, 862, 502, 230 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 750, 922, 862, 502, 230. So, keep reading to learn more.
Given numbers are 750,922,862,502,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,922,862,502,230 is 860282357250.
Find LCM of 750,922,862,502,230 with Prime Factorization
2 | 750, 922, 862, 502, 230 |
5 | 375, 461, 431, 251, 115 |
75, 461, 431, 251, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 75 x 461 x 431 x 251 x 23 = 860282357250
Therefore, the lowest common multiple of 750,922,862,502,230 is 860282357250.
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.
750 x 922 x 862 x 502 x 230 = 68822588580000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
922 : 1, 2, 461, 922
862 : 1, 2, 431, 862
502 : 1, 2, 251, 502
230 : 1, 2, 5, 10, 23, 46, 115, 230
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,922,862,502,230, is 2.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
922:2x 461
862:2x 431
502:2x 251
230:2x 5x 23
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 5 = 40
Therefore, the value for common factors is 40.
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 = 68822588580000/(2x40)
LCM = 68822588580000/80
LCM = 860282357250
Thus, we can understand that the LCM of 750,922,862,502,230 is 860282357250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 750, 922, 862, 502, 230?
Answer: LCM of 750, 922, 862, 502, 230 is 860282357250.
2. How to calculate the LCM of 750, 922, 862, 502, 230?
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 750, 922, 862, 502, 230.
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}.