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 374,486,289
We can find the LCD of numbers 374,486,289 by the prime factorization method or by applying the LCD formula.
The LCD of 374,486,289 is 1544994.
2 | 374, 486, 289 |
17 | 187, 243, 289 |
11, 243, 17 |
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 17 x 11 x 243 x 17 = 1544994
Thus, we have determined that the LCD of 374,486,289 is 1544994
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 374 and 486. To find the GCF, list down the factors of 374 and 486 and select the highest factor that appears in both lists of factors.
374 : [1, 2, 11, 17, 22, 34, 187, 374]
486 : [1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486]
From this, we can see that the GCF of 374 and 486 is 2.
Now, put this into the LCD formula.
LCD(374, 486) = ( 374 x 486 ) / 2
LCD(374, 486) = 181764 / 2
LCD(374, 486) = 90882
Step2:
Find the GCF of 90882 and 289. To find the GCF, list down the factors of 90882 and 289 and select the highest factor that appears in both lists of factors.
90882 : [1, 2, 3, 6, 9, 11, 17, 18, 22, 27, 33, 34, 51, 54, 66, 81, 99, 102, 153, 162, 187, 198, 243, 297, 306, 374, 459, 486, 561, 594, 891, 918, 1122, 1377, 1683, 1782, 2673, 2754, 3366, 4131, 5049, 5346, 8262, 10098, 15147, 30294, 45441, 90882]
289 : [1, 17, 289]
From this, we can see that the GCF of 90882 and 289 is 17.
Now, put this into the LCD formula.
LCD(90882, 289) = ( 90882 x 289 ) / 17
LCD(90882, 289) = 26264898 / 17
LCD(90882, 289) = 1544994
LCD of 374,486,289 is 1544994
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 .