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 534,500,139
We can find the LCD of numbers 534,500,139 by the prime factorization method or by applying the LCD formula.
The LCD of 534,500,139 is 18556500.
2 | 534, 500, 139 |
267, 250, 139 |
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 267 x 250 x 139 = 18556500
Thus, we have determined that the LCD of 534,500,139 is 18556500
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 534 and 500. To find the GCF, list down the factors of 534 and 500 and select the highest factor that appears in both lists of factors.
534 : [1, 2, 3, 6, 89, 178, 267, 534]
500 : [1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500]
From this, we can see that the GCF of 534 and 500 is 2.
Now, put this into the LCD formula.
LCD(534, 500) = ( 534 x 500 ) / 2
LCD(534, 500) = 267000 / 2
LCD(534, 500) = 133500
Step2:
Find the GCF of 133500 and 139. To find the GCF, list down the factors of 133500 and 139 and select the highest factor that appears in both lists of factors.
133500 : [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 89, 100, 125, 150, 178, 250, 267, 300, 356, 375, 445, 500, 534, 750, 890, 1068, 1335, 1500, 1780, 2225, 2670, 4450, 5340, 6675, 8900, 11125, 13350, 22250, 26700, 33375, 44500, 66750, 133500]
139 : [1, 139]
From this, we can see that the GCF of 133500 and 139 is 1.
Now, put this into the LCD formula.
LCD(133500, 139) = ( 133500 x 139 ) / 1
LCD(133500, 139) = 18556500 / 1
LCD(133500, 139) = 18556500
LCD of 534,500,139 is 18556500
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 .