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 289,210,331
We can find the LCD of numbers 289,210,331 by the prime factorization method or by applying the LCD formula.
The LCD of 289,210,331 is 20088390.
Given numbers has no common factors except 1. So, there LCD is their product i.e 20088390
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 289 and 210. To find the GCF, list down the factors of 289 and 210 and select the highest factor that appears in both lists of factors.
289 : [1, 17, 289]
210 : [1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210]
From this, we can see that the GCF of 289 and 210 is 1.
Now, put this into the LCD formula.
LCD(289, 210) = ( 289 x 210 ) / 1
LCD(289, 210) = 60690 / 1
LCD(289, 210) = 60690
Step2:
Find the GCF of 60690 and 331. To find the GCF, list down the factors of 60690 and 331 and select the highest factor that appears in both lists of factors.
60690 : [1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 289, 357, 510, 578, 595, 714, 867, 1190, 1445, 1734, 1785, 2023, 2890, 3570, 4046, 4335, 6069, 8670, 10115, 12138, 20230, 30345, 60690]
331 : [1, 331]
From this, we can see that the GCF of 60690 and 331 is 1.
Now, put this into the LCD formula.
LCD(60690, 331) = ( 60690 x 331 ) / 1
LCD(60690, 331) = 20088390 / 1
LCD(60690, 331) = 20088390
LCD of 289,210,331 is 20088390
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 .