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 509,610,278
We can find the LCD of numbers 509,610,278 by the prime factorization method or by applying the LCD formula.
The LCD of 509,610,278 is 43158110.
2 | 509, 610, 278 |
509, 305, 139 |
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 509 x 305 x 139 = 43158110
Thus, we have determined that the LCD of 509,610,278 is 43158110
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 509 and 610. To find the GCF, list down the factors of 509 and 610 and select the highest factor that appears in both lists of factors.
509 : [1, 509]
610 : [1, 2, 5, 10, 61, 122, 305, 610]
From this, we can see that the GCF of 509 and 610 is 1.
Now, put this into the LCD formula.
LCD(509, 610) = ( 509 x 610 ) / 1
LCD(509, 610) = 310490 / 1
LCD(509, 610) = 310490
Step2:
Find the GCF of 310490 and 278. To find the GCF, list down the factors of 310490 and 278 and select the highest factor that appears in both lists of factors.
310490 : [1, 2, 5, 10, 61, 122, 305, 509, 610, 1018, 2545, 5090, 31049, 62098, 155245, 310490]
278 : [1, 2, 139, 278]
From this, we can see that the GCF of 310490 and 278 is 2.
Now, put this into the LCD formula.
LCD(310490, 278) = ( 310490 x 278 ) / 2
LCD(310490, 278) = 86316220 / 2
LCD(310490, 278) = 43158110
LCD of 509,610,278 is 43158110
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 .