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 678,728,114
We can find the LCD of numbers 678,728,114 by the prime factorization method or by applying the LCD formula.
The LCD of 678,728,114 is 4689048.
2 | 678, 728, 114 |
3 | 339, 364, 57 |
113, 364, 19 |
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 3 x 113 x 364 x 19 = 4689048
Thus, we have determined that the LCD of 678,728,114 is 4689048
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 678 and 728. To find the GCF, list down the factors of 678 and 728 and select the highest factor that appears in both lists of factors.
678 : [1, 2, 3, 6, 113, 226, 339, 678]
728 : [1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728]
From this, we can see that the GCF of 678 and 728 is 2.
Now, put this into the LCD formula.
LCD(678, 728) = ( 678 x 728 ) / 2
LCD(678, 728) = 493584 / 2
LCD(678, 728) = 246792
Step2:
Find the GCF of 246792 and 114. To find the GCF, list down the factors of 246792 and 114 and select the highest factor that appears in both lists of factors.
246792 : [1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 113, 156, 168, 182, 226, 273, 312, 339, 364, 452, 546, 678, 728, 791, 904, 1092, 1356, 1469, 1582, 2184, 2373, 2712, 2938, 3164, 4407, 4746, 5876, 6328, 8814, 9492, 10283, 11752, 17628, 18984, 20566, 30849, 35256, 41132, 61698, 82264, 123396, 246792]
114 : [1, 2, 3, 6, 19, 38, 57, 114]
From this, we can see that the GCF of 246792 and 114 is 6.
Now, put this into the LCD formula.
LCD(246792, 114) = ( 246792 x 114 ) / 6
LCD(246792, 114) = 28134288 / 6
LCD(246792, 114) = 4689048
LCD of 678,728,114 is 4689048
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 .