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 814,827,742
We can find the LCD of numbers 814,827,742 by the prime factorization method or by applying the LCD formula.
The LCD of 814,827,742 is 249749038.
2 | 814, 827, 742 |
407, 827, 371 |
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 407 x 827 x 371 = 249749038
Thus, we have determined that the LCD of 814,827,742 is 249749038
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 814 and 827. To find the GCF, list down the factors of 814 and 827 and select the highest factor that appears in both lists of factors.
814 : [1, 2, 11, 22, 37, 74, 407, 814]
827 : [1, 827]
From this, we can see that the GCF of 814 and 827 is 1.
Now, put this into the LCD formula.
LCD(814, 827) = ( 814 x 827 ) / 1
LCD(814, 827) = 673178 / 1
LCD(814, 827) = 673178
Step2:
Find the GCF of 673178 and 742. To find the GCF, list down the factors of 673178 and 742 and select the highest factor that appears in both lists of factors.
673178 : [1, 2, 11, 22, 37, 74, 407, 814, 827, 1654, 9097, 18194, 30599, 61198, 336589, 673178]
742 : [1, 2, 7, 14, 53, 106, 371, 742]
From this, we can see that the GCF of 673178 and 742 is 2.
Now, put this into the LCD formula.
LCD(673178, 742) = ( 673178 x 742 ) / 2
LCD(673178, 742) = 499498076 / 2
LCD(673178, 742) = 249749038
LCD of 814,827,742 is 249749038
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 .