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 391,385,274
We can find the LCD of numbers 391,385,274 by the prime factorization method or by applying the LCD formula.
The LCD of 391,385,274 is 41246590.
Given numbers has no common factors except 1. So, there LCD is their product i.e 41246590
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 391 and 385. To find the GCF, list down the factors of 391 and 385 and select the highest factor that appears in both lists of factors.
391 : [1, 17, 23, 391]
385 : [1, 5, 7, 11, 35, 55, 77, 385]
From this, we can see that the GCF of 391 and 385 is 1.
Now, put this into the LCD formula.
LCD(391, 385) = ( 391 x 385 ) / 1
LCD(391, 385) = 150535 / 1
LCD(391, 385) = 150535
Step2:
Find the GCF of 150535 and 274. To find the GCF, list down the factors of 150535 and 274 and select the highest factor that appears in both lists of factors.
150535 : [1, 5, 7, 11, 17, 23, 35, 55, 77, 85, 115, 119, 161, 187, 253, 385, 391, 595, 805, 935, 1265, 1309, 1771, 1955, 2737, 4301, 6545, 8855, 13685, 21505, 30107, 150535]
274 : [1, 2, 137, 274]
From this, we can see that the GCF of 150535 and 274 is 1.
Now, put this into the LCD formula.
LCD(150535, 274) = ( 150535 x 274 ) / 1
LCD(150535, 274) = 41246590 / 1
LCD(150535, 274) = 41246590
LCD of 391,385,274 is 41246590
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 .