LCD of Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
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 518,378,309
We can find the LCD of numbers 518,378,309 by the prime factorization method or by applying the LCD formula.
The LCD of 518,378,309 is 1440558.
Method to Find Least Common Denominator of 518,378,309 with Prime Factorization
| 2 | 518, 378, 309 |
| 3 | 259, 189, 309 |
| 7 | 259, 63, 103 |
| 37, 9, 103 |
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 7 x 37 x 9 x 103 = 1440558
Thus, we have determined that the LCD of 518,378,309 is 1440558
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 518 and 378. To find the GCF, list down the factors of 518 and 378 and select the highest factor that appears in both lists of factors.
518 : [1, 2, 7, 14, 37, 74, 259, 518]
378 : [1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378]
From this, we can see that the GCF of 518 and 378 is 14.
Now, put this into the LCD formula.
LCD(518, 378) = ( 518 x 378 ) / 14
LCD(518, 378) = 195804 / 14
LCD(518, 378) = 13986
Step2:
Find the GCF of 13986 and 309. To find the GCF, list down the factors of 13986 and 309 and select the highest factor that appears in both lists of factors.
13986 : [1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 37, 42, 54, 63, 74, 111, 126, 189, 222, 259, 333, 378, 518, 666, 777, 999, 1554, 1998, 2331, 4662, 6993, 13986]
309 : [1, 3, 103, 309]
From this, we can see that the GCF of 13986 and 309 is 3.
Now, put this into the LCD formula.
LCD(13986, 309) = ( 13986 x 309 ) / 3
LCD(13986, 309) = 4321674 / 3
LCD(13986, 309) = 1440558
LCD of 518,378,309 is 1440558
LCD of Numbers Calculation Examples
Here are some samples of LCD of Numbers calculations.
Frequently Asked Questions on LCD of
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 .