LCD of Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
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 560,348,413
We can find the LCD of numbers 560,348,413 by the prime factorization method or by applying the LCD formula.
The LCD of 560,348,413 is 2874480.
Method to Find Least Common Denominator of 560,348,413 with Prime Factorization
| 2 | 560, 348, 413 |
| 2 | 280, 174, 413 |
| 7 | 140, 87, 413 |
| 20, 87, 59 |
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 2 x 7 x 20 x 87 x 59 = 2874480
Thus, we have determined that the LCD of 560,348,413 is 2874480
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 560 and 348. To find the GCF, list down the factors of 560 and 348 and select the highest factor that appears in both lists of factors.
560 : [1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560]
348 : [1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348]
From this, we can see that the GCF of 560 and 348 is 4.
Now, put this into the LCD formula.
LCD(560, 348) = ( 560 x 348 ) / 4
LCD(560, 348) = 194880 / 4
LCD(560, 348) = 48720
Step2:
Find the GCF of 48720 and 413. To find the GCF, list down the factors of 48720 and 413 and select the highest factor that appears in both lists of factors.
48720 : [1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 29, 30, 35, 40, 42, 48, 56, 58, 60, 70, 80, 84, 87, 105, 112, 116, 120, 140, 145, 168, 174, 203, 210, 232, 240, 280, 290, 336, 348, 406, 420, 435, 464, 560, 580, 609, 696, 812, 840, 870, 1015, 1160, 1218, 1392, 1624, 1680, 1740, 2030, 2320, 2436, 3045, 3248, 3480, 4060, 4872, 6090, 6960, 8120, 9744, 12180, 16240, 24360, 48720]
413 : [1, 7, 59, 413]
From this, we can see that the GCF of 48720 and 413 is 7.
Now, put this into the LCD formula.
LCD(48720, 413) = ( 48720 x 413 ) / 7
LCD(48720, 413) = 20121360 / 7
LCD(48720, 413) = 2874480
LCD of 560,348,413 is 2874480
LCD of Numbers Calculation Examples
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Frequently Asked Questions on LCD of
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 .