LCM of 462, 193, 772, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 193, 772, 750 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 462, 193, 772, 750. So, keep reading to learn more.
Given numbers are 462,193,772,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,193,772,750 is 22291500.
Find LCM of 462,193,772,750 with Prime Factorization
| 2 | 462, 193, 772, 750 |
| 3 | 231, 193, 386, 375 |
| 193 | 77, 193, 386, 125 |
| 77, 1, 2, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 193 x 77 x 1 x 2 x 125 = 22291500
Therefore, the lowest common multiple of 462,193,772,750 is 22291500.
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.
462 x 193 x 772 x 750 = 51627114000
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
193 : 1, 193
772 : 1, 2, 4, 193, 386, 772
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,193,772,750, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
193:193
772:2x 2x 193
750:2x 3x 5x 5x 5
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 3x 193 = 2316
Therefore, the value for common factors is 2316.
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 = 51627114000/(1x2316)
LCM = 51627114000/2316
LCM = 22291500
Thus, we can understand that the LCM of 462,193,772,750 is 22291500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 193, 772, 750
1. What is the LCM of 462, 193, 772, 750?
Answer: LCM of 462, 193, 772, 750 is 22291500.
2. How to calculate the LCM of 462, 193, 772, 750?
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 462, 193, 772, 750.
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}.