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 147,708,420
We can find the LCD of numbers 147,708,420 by the prime factorization method or by applying the LCD formula.
The LCD of 147,708,420 is 173460.
Method to Find Least Common Denominator of 147,708,420 with Prime Factorization
| 2 | 147, 708, 420 |
| 2 | 147, 354, 210 |
| 3 | 147, 177, 105 |
| 7 | 49, 59, 35 |
| 7, 59, 5 |
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 7 x 7 x 59 x 5 = 173460
Thus, we have determined that the LCD of 147,708,420 is 173460
The LCD formula is LCD(a,b) = ( a x b) / GCF(a,b)
Step1:
Find the GCF of 147 and 708. To find the GCF, list down the factors of 147 and 708 and select the highest factor that appears in both lists of factors.
147 : [1, 3, 7, 21, 49, 147]
708 : [1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708]
From this, we can see that the GCF of 147 and 708 is 3.
Now, put this into the LCD formula.
LCD(147, 708) = ( 147 x 708 ) / 3
LCD(147, 708) = 104076 / 3
LCD(147, 708) = 34692
Step2:
Find the GCF of 34692 and 420. To find the GCF, list down the factors of 34692 and 420 and select the highest factor that appears in both lists of factors.
34692 : [1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 59, 84, 98, 118, 147, 177, 196, 236, 294, 354, 413, 588, 708, 826, 1239, 1652, 2478, 2891, 4956, 5782, 8673, 11564, 17346, 34692]
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 34692 and 420 is 84.
Now, put this into the LCD formula.
LCD(34692, 420) = ( 34692 x 420 ) / 84
LCD(34692, 420) = 14570640 / 84
LCD(34692, 420) = 173460
LCD of 147,708,420 is 173460
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 .