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 454,406,894
We can find the LCD of numbers 454,406,894 by the prime factorization method or by applying the LCD formula.
The LCD of 454,406,894 is 41196414.
2 | 454, 406, 894 |
227, 203, 447 |
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 227 x 203 x 447 = 41196414
Thus, we have determined that the LCD of 454,406,894 is 41196414
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 454 and 406. To find the GCF, list down the factors of 454 and 406 and select the highest factor that appears in both lists of factors.
454 : [1, 2, 227, 454]
406 : [1, 2, 7, 14, 29, 58, 203, 406]
From this, we can see that the GCF of 454 and 406 is 2.
Now, put this into the LCD formula.
LCD(454, 406) = ( 454 x 406 ) / 2
LCD(454, 406) = 184324 / 2
LCD(454, 406) = 92162
Step2:
Find the GCF of 92162 and 894. To find the GCF, list down the factors of 92162 and 894 and select the highest factor that appears in both lists of factors.
92162 : [1, 2, 7, 14, 29, 58, 203, 227, 406, 454, 1589, 3178, 6583, 13166, 46081, 92162]
894 : [1, 2, 3, 6, 149, 298, 447, 894]
From this, we can see that the GCF of 92162 and 894 is 2.
Now, put this into the LCD formula.
LCD(92162, 894) = ( 92162 x 894 ) / 2
LCD(92162, 894) = 82392828 / 2
LCD(92162, 894) = 41196414
LCD of 454,406,894 is 41196414
Here are some samples of LCD of Numbers calculations.
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 .