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 712,506,451
We can find the LCD of numbers 712,506,451 by the prime factorization method or by applying the LCD formula.
The LCD of 712,506,451 is 7385576.
2 | 712, 506, 451 |
11 | 356, 253, 451 |
356, 23, 41 |
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 11 x 356 x 23 x 41 = 7385576
Thus, we have determined that the LCD of 712,506,451 is 7385576
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 712 and 506. To find the GCF, list down the factors of 712 and 506 and select the highest factor that appears in both lists of factors.
712 : [1, 2, 4, 8, 89, 178, 356, 712]
506 : [1, 2, 11, 22, 23, 46, 253, 506]
From this, we can see that the GCF of 712 and 506 is 2.
Now, put this into the LCD formula.
LCD(712, 506) = ( 712 x 506 ) / 2
LCD(712, 506) = 360272 / 2
LCD(712, 506) = 180136
Step2:
Find the GCF of 180136 and 451. To find the GCF, list down the factors of 180136 and 451 and select the highest factor that appears in both lists of factors.
180136 : [1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 89, 92, 178, 184, 253, 356, 506, 712, 979, 1012, 1958, 2024, 2047, 3916, 4094, 7832, 8188, 16376, 22517, 45034, 90068, 180136]
451 : [1, 11, 41, 451]
From this, we can see that the GCF of 180136 and 451 is 11.
Now, put this into the LCD formula.
LCD(180136, 451) = ( 180136 x 451 ) / 11
LCD(180136, 451) = 81241336 / 11
LCD(180136, 451) = 7385576
LCD of 712,506,451 is 7385576
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 .