How to find LCD of on a calculator?

You can find LCD of by simply giving the inputs in the input field and clicking on the Calculator button next to it to get the concerned Least Common Denominator.

LCD of Calculator

Q: How to Find the LCD of ?

Least Common Denominator of . Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCD() = .

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.

How to Find LCD of 270,380,420 ?

Given numbers are 270,380,420

We can find the LCD of numbers 270,380,420 by the prime factorization method or by applying the LCD formula.

The LCD of 270,380,420 is 71820.

Method to Find Least Common Denominator of 270,380,420 with Prime Factorization

2	270, 380, 420
2	135, 190, 210
3	135, 95, 105
5	45, 95, 35
	9, 19, 7

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 3 x 5 x 9 x 19 x 7 = 71820

Thus, we have determined that the LCD of 270,380,420 is 71820

LCD Formula to Find LCD of 270,380,420

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

Step1:

Find the GCF of 270 and 380. To find the GCF, list down the factors of 270 and 380 and select the highest factor that appears in both lists of factors.

270 : [1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270]

380 : [1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380]

From this, we can see that the GCF of 270 and 380 is 10.

Now, put this into the LCD formula.

LCD(270, 380) = ( 270 x 380 ) / 10

LCD(270, 380) = 102600 / 10

LCD(270, 380) = 10260

Step2:

Find the GCF of 10260 and 420. To find the GCF, list down the factors of 10260 and 420 and select the highest factor that appears in both lists of factors.

10260 : [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 27, 30, 36, 38, 45, 54, 57, 60, 76, 90, 95, 108, 114, 135, 171, 180, 190, 228, 270, 285, 342, 380, 513, 540, 570, 684, 855, 1026, 1140, 1710, 2052, 2565, 3420, 5130, 10260]

420 : [1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420]

From this, we can see that the GCF of 10260 and 420 is 60.

Now, put this into the LCD formula.

LCD(10260, 420) = ( 10260 x 420 ) / 60

LCD(10260, 420) = 4309200 / 60

LCD(10260, 420) = 71820

LCD of 270,380,420 is 71820

LCD of Numbers Calculation Examples

Here are some samples of LCD of Numbers calculations.

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 .