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 102,166,129
We can find the LCD of numbers 102,166,129 by the prime factorization method or by applying the LCD formula.
The LCD of 102,166,129 is 364038.
2 | 102, 166, 129 |
3 | 51, 83, 129 |
17, 83, 43 |
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 17 x 83 x 43 = 364038
Thus, we have determined that the LCD of 102,166,129 is 364038
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 102 and 166. To find the GCF, list down the factors of 102 and 166 and select the highest factor that appears in both lists of factors.
102 : [1, 2, 3, 6, 17, 34, 51, 102]
166 : [1, 2, 83, 166]
From this, we can see that the GCF of 102 and 166 is 2.
Now, put this into the LCD formula.
LCD(102, 166) = ( 102 x 166 ) / 2
LCD(102, 166) = 16932 / 2
LCD(102, 166) = 8466
Step2:
Find the GCF of 8466 and 129. To find the GCF, list down the factors of 8466 and 129 and select the highest factor that appears in both lists of factors.
8466 : [1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466]
129 : [1, 3, 43, 129]
From this, we can see that the GCF of 8466 and 129 is 3.
Now, put this into the LCD formula.
LCD(8466, 129) = ( 8466 x 129 ) / 3
LCD(8466, 129) = 1092114 / 3
LCD(8466, 129) = 364038
LCD of 102,166,129 is 364038
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 .