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 948,969,298
We can find the LCD of numbers 948,969,298 by the prime factorization method or by applying the LCD formula.
The LCD of 948,969,298 is 45624396.
2 | 948, 969, 298 |
3 | 474, 969, 149 |
158, 323, 149 |
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 3 x 158 x 323 x 149 = 45624396
Thus, we have determined that the LCD of 948,969,298 is 45624396
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 948 and 969. To find the GCF, list down the factors of 948 and 969 and select the highest factor that appears in both lists of factors.
948 : [1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948]
969 : [1, 3, 17, 19, 51, 57, 323, 969]
From this, we can see that the GCF of 948 and 969 is 3.
Now, put this into the LCD formula.
LCD(948, 969) = ( 948 x 969 ) / 3
LCD(948, 969) = 918612 / 3
LCD(948, 969) = 306204
Step2:
Find the GCF of 306204 and 298. To find the GCF, list down the factors of 306204 and 298 and select the highest factor that appears in both lists of factors.
306204 : [1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 79, 102, 114, 158, 204, 228, 237, 316, 323, 474, 646, 948, 969, 1292, 1343, 1501, 1938, 2686, 3002, 3876, 4029, 4503, 5372, 6004, 8058, 9006, 16116, 18012, 25517, 51034, 76551, 102068, 153102, 306204]
298 : [1, 2, 149, 298]
From this, we can see that the GCF of 306204 and 298 is 2.
Now, put this into the LCD formula.
LCD(306204, 298) = ( 306204 x 298 ) / 2
LCD(306204, 298) = 91248792 / 2
LCD(306204, 298) = 45624396
LCD of 948,969,298 is 45624396
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 .