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 387,791,819
We can find the LCD of numbers 387,791,819 by the prime factorization method or by applying the LCD formula.
The LCD of 387,791,819 is 3979521.
3 | 387, 791, 819 |
3 | 129, 791, 273 |
7 | 43, 791, 91 |
43, 113, 13 |
As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
3 x 3 x 7 x 43 x 113 x 13 = 3979521
Thus, we have determined that the LCD of 387,791,819 is 3979521
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 387 and 791. To find the GCF, list down the factors of 387 and 791 and select the highest factor that appears in both lists of factors.
387 : [1, 3, 9, 43, 129, 387]
791 : [1, 7, 113, 791]
From this, we can see that the GCF of 387 and 791 is 1.
Now, put this into the LCD formula.
LCD(387, 791) = ( 387 x 791 ) / 1
LCD(387, 791) = 306117 / 1
LCD(387, 791) = 306117
Step2:
Find the GCF of 306117 and 819. To find the GCF, list down the factors of 306117 and 819 and select the highest factor that appears in both lists of factors.
306117 : [1, 3, 7, 9, 21, 43, 63, 113, 129, 301, 339, 387, 791, 903, 1017, 2373, 2709, 4859, 7119, 14577, 34013, 43731, 102039, 306117]
819 : [1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819]
From this, we can see that the GCF of 306117 and 819 is 63.
Now, put this into the LCD formula.
LCD(306117, 819) = ( 306117 x 819 ) / 63
LCD(306117, 819) = 250709823 / 63
LCD(306117, 819) = 3979521
LCD of 387,791,819 is 3979521
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 .