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 517,601,154
We can find the LCD of numbers 517,601,154 by the prime factorization method or by applying the LCD formula.
The LCD of 517,601,154 is 4350038.
11 | 517, 601, 154 |
47, 601, 14 |
As you can see, now we have to multiply the prime numbers on the left side with the co-primes at the bottom.
11 x 47 x 601 x 14 = 4350038
Thus, we have determined that the LCD of 517,601,154 is 4350038
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 517 and 601. To find the GCF, list down the factors of 517 and 601 and select the highest factor that appears in both lists of factors.
517 : [1, 11, 47, 517]
601 : [1, 601]
From this, we can see that the GCF of 517 and 601 is 1.
Now, put this into the LCD formula.
LCD(517, 601) = ( 517 x 601 ) / 1
LCD(517, 601) = 310717 / 1
LCD(517, 601) = 310717
Step2:
Find the GCF of 310717 and 154. To find the GCF, list down the factors of 310717 and 154 and select the highest factor that appears in both lists of factors.
310717 : [1, 11, 47, 517, 601, 6611, 28247, 310717]
154 : [1, 2, 7, 11, 14, 22, 77, 154]
From this, we can see that the GCF of 310717 and 154 is 11.
Now, put this into the LCD formula.
LCD(310717, 154) = ( 310717 x 154 ) / 11
LCD(310717, 154) = 47850418 / 11
LCD(310717, 154) = 4350038
LCD of 517,601,154 is 4350038
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 .