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 668,253,706
We can find the LCD of numbers 668,253,706 by the prime factorization method or by applying the LCD formula.
The LCD of 668,253,706 is 59658412.
2 | 668, 253, 706 |
334, 253, 353 |
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 334 x 253 x 353 = 59658412
Thus, we have determined that the LCD of 668,253,706 is 59658412
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 668 and 253. To find the GCF, list down the factors of 668 and 253 and select the highest factor that appears in both lists of factors.
668 : [1, 2, 4, 167, 334, 668]
253 : [1, 11, 23, 253]
From this, we can see that the GCF of 668 and 253 is 1.
Now, put this into the LCD formula.
LCD(668, 253) = ( 668 x 253 ) / 1
LCD(668, 253) = 169004 / 1
LCD(668, 253) = 169004
Step2:
Find the GCF of 169004 and 706. To find the GCF, list down the factors of 169004 and 706 and select the highest factor that appears in both lists of factors.
169004 : [1, 2, 4, 11, 22, 23, 44, 46, 92, 167, 253, 334, 506, 668, 1012, 1837, 3674, 3841, 7348, 7682, 15364, 42251, 84502, 169004]
706 : [1, 2, 353, 706]
From this, we can see that the GCF of 169004 and 706 is 2.
Now, put this into the LCD formula.
LCD(169004, 706) = ( 169004 x 706 ) / 2
LCD(169004, 706) = 119316824 / 2
LCD(169004, 706) = 59658412
LCD of 668,253,706 is 59658412
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 .