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 988,111,523
We can find the LCD of numbers 988,111,523 by the prime factorization method or by applying the LCD formula.
The LCD of 988,111,523 is 57356364.
Given numbers has no common factors except 1. So, there LCD is their product i.e 57356364
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 988 and 111. To find the GCF, list down the factors of 988 and 111 and select the highest factor that appears in both lists of factors.
988 : [1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988]
111 : [1, 3, 37, 111]
From this, we can see that the GCF of 988 and 111 is 1.
Now, put this into the LCD formula.
LCD(988, 111) = ( 988 x 111 ) / 1
LCD(988, 111) = 109668 / 1
LCD(988, 111) = 109668
Step2:
Find the GCF of 109668 and 523. To find the GCF, list down the factors of 109668 and 523 and select the highest factor that appears in both lists of factors.
109668 : [1, 2, 3, 4, 6, 12, 13, 19, 26, 37, 38, 39, 52, 57, 74, 76, 78, 111, 114, 148, 156, 222, 228, 247, 444, 481, 494, 703, 741, 962, 988, 1406, 1443, 1482, 1924, 2109, 2812, 2886, 2964, 4218, 5772, 8436, 9139, 18278, 27417, 36556, 54834, 109668]
523 : [1, 523]
From this, we can see that the GCF of 109668 and 523 is 1.
Now, put this into the LCD formula.
LCD(109668, 523) = ( 109668 x 523 ) / 1
LCD(109668, 523) = 57356364 / 1
LCD(109668, 523) = 57356364
LCD of 988,111,523 is 57356364
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 .