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 842,329,969
We can find the LCD of numbers 842,329,969 by the prime factorization method or by applying the LCD formula.
The LCD of 842,329,969 is 268430442.
Given numbers has no common factors except 1. So, there LCD is their product i.e 268430442
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 842 and 329. To find the GCF, list down the factors of 842 and 329 and select the highest factor that appears in both lists of factors.
842 : [1, 2, 421, 842]
329 : [1, 7, 47, 329]
From this, we can see that the GCF of 842 and 329 is 1.
Now, put this into the LCD formula.
LCD(842, 329) = ( 842 x 329 ) / 1
LCD(842, 329) = 277018 / 1
LCD(842, 329) = 277018
Step2:
Find the GCF of 277018 and 969. To find the GCF, list down the factors of 277018 and 969 and select the highest factor that appears in both lists of factors.
277018 : [1, 2, 7, 14, 47, 94, 329, 421, 658, 842, 2947, 5894, 19787, 39574, 138509, 277018]
969 : [1, 3, 17, 19, 51, 57, 323, 969]
From this, we can see that the GCF of 277018 and 969 is 1.
Now, put this into the LCD formula.
LCD(277018, 969) = ( 277018 x 969 ) / 1
LCD(277018, 969) = 268430442 / 1
LCD(277018, 969) = 268430442
LCD of 842,329,969 is 268430442
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 .