LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCD of Calculator

Created By : Jatin Gogia
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.

 

LCD of

How to Find LCD of 536,546,312 ?

Given numbers are 536,546,312

We can find the LCD of numbers 536,546,312 by the prime factorization method or by applying the LCD formula.

The LCD of 536,546,312 is 146328.


Method to Find Least Common Denominator of 536,546,312 with Prime Factorization

2 536, 546, 312
2 268, 273, 156
2 134, 273, 78
3 67, 273, 39
13 67, 91, 13
67, 7, 1

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 13 x 67 x 7 x 1 = 146328

Thus, we have determined that the LCD of 536,546,312 is 146328

LCD Formula to Find LCD of 536,546,312

The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)


Step1:

Find the GCF of 536 and 546. To find the GCF, list down the factors of 536 and 546 and select the highest factor that appears in both lists of factors.

536 : [1, 2, 4, 8, 67, 134, 268, 536]

546 : [1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546]

From this, we can see that the GCF of 536 and 546 is 2.

Now, put this into the LCD formula.

LCD(536, 546) = ( 536 x 546 ) / 2

LCD(536, 546) = 292656 / 2

LCD(536, 546) = 146328


Step2:

Find the GCF of 146328 and 312. To find the GCF, list down the factors of 146328 and 312 and select the highest factor that appears in both lists of factors.

146328 : [1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 67, 78, 84, 91, 104, 134, 156, 168, 182, 201, 268, 273, 312, 364, 402, 469, 536, 546, 728, 804, 871, 938, 1092, 1407, 1608, 1742, 1876, 2184, 2613, 2814, 3484, 3752, 5226, 5628, 6097, 6968, 10452, 11256, 12194, 18291, 20904, 24388, 36582, 48776, 73164, 146328]

312 : [1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312]

From this, we can see that the GCF of 146328 and 312 is 312.

Now, put this into the LCD formula.

LCD(146328, 312) = ( 146328 x 312 ) / 312

LCD(146328, 312) = 45654336 / 312

LCD(146328, 312) = 146328

LCD of 536,546,312 is 146328

LCD of Numbers Calculation Examples

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 .