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LCD of fractions calculator
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1. Find LCD of fractions of 8/9,35/12,7/15
Solution:
Step-1 : 8/9,35/12,7/15
Step-2 : Find the least common multiple (LCM) of denominators
Steps of LCM of 9,12,15Method-1 : Finding LCM of 9,12,15 using Division MethodStep-1: Divide the numbers by prime factors until the remainder is 1| 2 | 9 | | 12 | | 15 | | 2 | 9 | | 6 | | 15 | | 3 | 9 | | 3 | | 15 | | 3 | 3 | | 1 | | 5 | | 5 | 1 | | 1 | | 5 | | | 1 | | 1 | | 1 |
Step-2: Multiply all the divisors to obtain the LCMLCM of 9,12,15=2 xx 2 xx 3 xx 3 xx 5=180
Method-2 : Finding LCM of 9,12,15 using Prime Factorization MethodStep-1: Prime factorization of 9,12,15 using factor by division method Step-2: Write each number as a product of primes, matching primes vertically when possible | 9 | = | | | 3 | × 3 | | | | 12 | = | 2 | × 2 | × 3 | | | | | 15 | = | | | 3 | | × 5 | |
Step-3: Bring down the primes in each column. The LCM is the product of these factors | 9 | = | | | 3 | × 3 | | | | 12 | = | 2 | × 2 | × 3 | | | | | 15 | = | | | 3 | | × 5 | |
| | LCM | = | 2 | × 2 | × 3 | × 3 | × 5 | = 180 |
:. LCM of 9,12,15 is 180
Here, LCM of 9,12,15 = 180
Step-3 :
:. LCD (Least common denominator) of 8/9,35/12,7/15 is 180
Step-4 : Rewriting the original inputs as equivalent fractions with the LCD:
8/9=8/9xx20/20=160/180
35/12=35/12xx15/15=525/180
7/15=7/15xx12/12=84/180
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