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 493,936,768
We can find the LCD of numbers 493,936,768 by the prime factorization method or by applying the LCD formula.
The LCD of 493,936,768 is 14766336.
2 | 493, 936, 768 |
2 | 493, 468, 384 |
2 | 493, 234, 192 |
3 | 493, 117, 96 |
493, 39, 32 |
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 2 x 3 x 493 x 39 x 32 = 14766336
Thus, we have determined that the LCD of 493,936,768 is 14766336
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 493 and 936. To find the GCF, list down the factors of 493 and 936 and select the highest factor that appears in both lists of factors.
493 : [1, 17, 29, 493]
936 : [1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936]
From this, we can see that the GCF of 493 and 936 is 1.
Now, put this into the LCD formula.
LCD(493, 936) = ( 493 x 936 ) / 1
LCD(493, 936) = 461448 / 1
LCD(493, 936) = 461448
Step2:
Find the GCF of 461448 and 768. To find the GCF, list down the factors of 461448 and 768 and select the highest factor that appears in both lists of factors.
461448 : [1, 2, 3, 4, 6, 8, 9, 12, 13, 17, 18, 24, 26, 29, 34, 36, 39, 51, 52, 58, 68, 72, 78, 87, 102, 104, 116, 117, 136, 153, 156, 174, 204, 221, 232, 234, 261, 306, 312, 348, 377, 408, 442, 468, 493, 522, 612, 663, 696, 754, 884, 936, 986, 1044, 1131, 1224, 1326, 1479, 1508, 1768, 1972, 1989, 2088, 2262, 2652, 2958, 3016, 3393, 3944, 3978, 4437, 4524, 5304, 5916, 6409, 6786, 7956, 8874, 9048, 11832, 12818, 13572, 15912, 17748, 19227, 25636, 27144, 35496, 38454, 51272, 57681, 76908, 115362, 153816, 230724, 461448]
768 : [1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768]
From this, we can see that the GCF of 461448 and 768 is 24.
Now, put this into the LCD formula.
LCD(461448, 768) = ( 461448 x 768 ) / 24
LCD(461448, 768) = 354392064 / 24
LCD(461448, 768) = 14766336
LCD of 493,936,768 is 14766336
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 .