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 164,111,748
We can find the LCD of numbers 164,111,748 by the prime factorization method or by applying the LCD formula.
The LCD of 164,111,748 is 3404148.
2 | 164, 111, 748 |
2 | 82, 111, 374 |
41, 111, 187 |
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 41 x 111 x 187 = 3404148
Thus, we have determined that the LCD of 164,111,748 is 3404148
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 164 and 111. To find the GCF, list down the factors of 164 and 111 and select the highest factor that appears in both lists of factors.
164 : [1, 2, 4, 41, 82, 164]
111 : [1, 3, 37, 111]
From this, we can see that the GCF of 164 and 111 is 1.
Now, put this into the LCD formula.
LCD(164, 111) = ( 164 x 111 ) / 1
LCD(164, 111) = 18204 / 1
LCD(164, 111) = 18204
Step2:
Find the GCF of 18204 and 748. To find the GCF, list down the factors of 18204 and 748 and select the highest factor that appears in both lists of factors.
18204 : [1, 2, 3, 4, 6, 12, 37, 41, 74, 82, 111, 123, 148, 164, 222, 246, 444, 492, 1517, 3034, 4551, 6068, 9102, 18204]
748 : [1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748]
From this, we can see that the GCF of 18204 and 748 is 4.
Now, put this into the LCD formula.
LCD(18204, 748) = ( 18204 x 748 ) / 4
LCD(18204, 748) = 13616592 / 4
LCD(18204, 748) = 3404148
LCD of 164,111,748 is 3404148
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 .