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 976,119,337
We can find the LCD of numbers 976,119,337 by the prime factorization method or by applying the LCD formula.
The LCD of 976,119,337 is 39140528.
Given numbers has no common factors except 1. So, there LCD is their product i.e 39140528
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 976 and 119. To find the GCF, list down the factors of 976 and 119 and select the highest factor that appears in both lists of factors.
976 : [1, 2, 4, 8, 16, 61, 122, 244, 488, 976]
119 : [1, 7, 17, 119]
From this, we can see that the GCF of 976 and 119 is 1.
Now, put this into the LCD formula.
LCD(976, 119) = ( 976 x 119 ) / 1
LCD(976, 119) = 116144 / 1
LCD(976, 119) = 116144
Step2:
Find the GCF of 116144 and 337. To find the GCF, list down the factors of 116144 and 337 and select the highest factor that appears in both lists of factors.
116144 : [1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 61, 68, 112, 119, 122, 136, 238, 244, 272, 427, 476, 488, 854, 952, 976, 1037, 1708, 1904, 2074, 3416, 4148, 6832, 7259, 8296, 14518, 16592, 29036, 58072, 116144]
337 : [1, 337]
From this, we can see that the GCF of 116144 and 337 is 1.
Now, put this into the LCD formula.
LCD(116144, 337) = ( 116144 x 337 ) / 1
LCD(116144, 337) = 39140528 / 1
LCD(116144, 337) = 39140528
LCD of 976,119,337 is 39140528
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 .