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 540,862,930
We can find the LCD of numbers 540,862,930 by the prime factorization method or by applying the LCD formula.
The LCD of 540,862,930 is 7214940.
2 | 540, 862, 930 |
3 | 270, 431, 465 |
5 | 90, 431, 155 |
18, 431, 31 |
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 3 x 5 x 18 x 431 x 31 = 7214940
Thus, we have determined that the LCD of 540,862,930 is 7214940
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 540 and 862. To find the GCF, list down the factors of 540 and 862 and select the highest factor that appears in both lists of factors.
540 : [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540]
862 : [1, 2, 431, 862]
From this, we can see that the GCF of 540 and 862 is 2.
Now, put this into the LCD formula.
LCD(540, 862) = ( 540 x 862 ) / 2
LCD(540, 862) = 465480 / 2
LCD(540, 862) = 232740
Step2:
Find the GCF of 232740 and 930. To find the GCF, list down the factors of 232740 and 930 and select the highest factor that appears in both lists of factors.
232740 : [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 431, 540, 862, 1293, 1724, 2155, 2586, 3879, 4310, 5172, 6465, 7758, 8620, 11637, 12930, 15516, 19395, 23274, 25860, 38790, 46548, 58185, 77580, 116370, 232740]
930 : [1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930]
From this, we can see that the GCF of 232740 and 930 is 30.
Now, put this into the LCD formula.
LCD(232740, 930) = ( 232740 x 930 ) / 30
LCD(232740, 930) = 216448200 / 30
LCD(232740, 930) = 7214940
LCD of 540,862,930 is 7214940
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 .