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 835,415,853
We can find the LCD of numbers 835,415,853 by the prime factorization method or by applying the LCD formula.
The LCD of 835,415,853 is 59117165.
5 | 835, 415, 853 |
167, 83, 853 |
As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
5 x 167 x 83 x 853 = 59117165
Thus, we have determined that the LCD of 835,415,853 is 59117165
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 835 and 415. To find the GCF, list down the factors of 835 and 415 and select the highest factor that appears in both lists of factors.
835 : [1, 5, 167, 835]
415 : [1, 5, 83, 415]
From this, we can see that the GCF of 835 and 415 is 5.
Now, put this into the LCD formula.
LCD(835, 415) = ( 835 x 415 ) / 5
LCD(835, 415) = 346525 / 5
LCD(835, 415) = 69305
Step2:
Find the GCF of 69305 and 853. To find the GCF, list down the factors of 69305 and 853 and select the highest factor that appears in both lists of factors.
69305 : [1, 5, 83, 167, 415, 835, 13861, 69305]
853 : [1, 853]
From this, we can see that the GCF of 69305 and 853 is 1.
Now, put this into the LCD formula.
LCD(69305, 853) = ( 69305 x 853 ) / 1
LCD(69305, 853) = 59117165 / 1
LCD(69305, 853) = 59117165
LCD of 835,415,853 is 59117165
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 .