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 779,782,228
We can find the LCD of numbers 779,782,228 by the prime factorization method or by applying the LCD formula.
The LCD of 779,782,228 is 3655068.
2 | 779, 782, 228 |
19 | 779, 391, 114 |
41, 391, 6 |
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 19 x 41 x 391 x 6 = 3655068
Thus, we have determined that the LCD of 779,782,228 is 3655068
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 779 and 782. To find the GCF, list down the factors of 779 and 782 and select the highest factor that appears in both lists of factors.
779 : [1, 19, 41, 779]
782 : [1, 2, 17, 23, 34, 46, 391, 782]
From this, we can see that the GCF of 779 and 782 is 1.
Now, put this into the LCD formula.
LCD(779, 782) = ( 779 x 782 ) / 1
LCD(779, 782) = 609178 / 1
LCD(779, 782) = 609178
Step2:
Find the GCF of 609178 and 228. To find the GCF, list down the factors of 609178 and 228 and select the highest factor that appears in both lists of factors.
609178 : [1, 2, 17, 19, 23, 34, 38, 41, 46, 82, 323, 391, 437, 646, 697, 779, 782, 874, 943, 1394, 1558, 1886, 7429, 13243, 14858, 16031, 17917, 26486, 32062, 35834, 304589, 609178]
228 : [1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228]
From this, we can see that the GCF of 609178 and 228 is 38.
Now, put this into the LCD formula.
LCD(609178, 228) = ( 609178 x 228 ) / 38
LCD(609178, 228) = 138892584 / 38
LCD(609178, 228) = 3655068
LCD of 779,782,228 is 3655068
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 .