LCD of Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Read this article to figure out how to calculate the lowest common denominator of . Learn the two different methods that you can use to find the LCD: the prime factorization method and the LCD formula method. We will explain both these methods in detail so stick around until the very end to understand. Utilise our free LCD Calculator to avail the LCD of numbers easily.
Given numbers are 960,400,825
We can find the LCD of numbers 960,400,825 by the prime factorization method or by applying the LCD formula.
The LCD of 960,400,825 is 52800.
Method to Find Least Common Denominator of 960,400,825 with Prime Factorization
| 2 | 960, 400, 825 |
| 2 | 480, 200, 825 |
| 2 | 240, 100, 825 |
| 2 | 120, 50, 825 |
| 3 | 60, 25, 825 |
| 5 | 20, 25, 275 |
| 5 | 4, 5, 55 |
| 4, 1, 11 |
As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
2 x 2 x 2 x 2 x 3 x 5 x 5 x 4 x 1 x 11 = 52800
Thus, we have determined that the LCD of 960,400,825 is 52800
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 960 and 400. To find the GCF, list down the factors of 960 and 400 and select the highest factor that appears in both lists of factors.
960 : [1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960]
400 : [1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400]
From this, we can see that the GCF of 960 and 400 is 80.
Now, put this into the LCD formula.
LCD(960, 400) = ( 960 x 400 ) / 80
LCD(960, 400) = 384000 / 80
LCD(960, 400) = 4800
Step2:
Find the GCF of 4800 and 825. To find the GCF, list down the factors of 4800 and 825 and select the highest factor that appears in both lists of factors.
4800 : [1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800]
825 : [1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825]
From this, we can see that the GCF of 4800 and 825 is 75.
Now, put this into the LCD formula.
LCD(4800, 825) = ( 4800 x 825 ) / 75
LCD(4800, 825) = 3960000 / 75
LCD(4800, 825) = 52800
LCD of 960,400,825 is 52800
LCD of Numbers Calculation Examples
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Frequently Asked Questions on LCD of
1. What is the LCD of ?
Answer: LCD of is .
2. How to find LCD of using prime factorization ?
Answer: Just keep dividing by prime numbers until only co-primes are left over. At that point, simply multiply the co-primes with the prime numbers on the left. The answer will be , the LCD.
3. How to Find the LCD of using LCD formula ?
Answer: The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b).
You must first calculate the LCD OF and . Then, find the LCD of that answer and and so on. The answer will be , which is the LCD of .