What is the least common denominator?

Question

for adding the fractions 4/15 , 1/12 and 3/8

Answer 1

120

Answer 2

hi,
regarding least common denominator.....

In mathematics, the lowest common denominator or least
common denominator (abbreviated LCD) is the least
common multiple of the denominators of a set of vulgar
fractions.


It is the smallest (non-zero) number that is a multiple of
the denominators.
example.... lcd for 1/2 and 1/4 is 4 but that for 1/2 and 1/3 is 6..


By using this (or any multiple of it) as a denominator, it
enables addition, subtraction or comparison of fractions

4/15 +1/12 +3/8
= 32/120+10/120+45/120
=87/120

Answer 3

4/15+1/12+3/8=?

4/15x8/8=32/120
1/12x10/10=10/120
3/8x15/15=45/120

32/120+10/120+45/120=87/120
You add the numerator and the denominator stay the same. So the denominator is 120.

Answer 4

It is the LCM of 15 and 8.
Since 15 = 3*5
8 = 2*2*2
these 2 numbers have no factor in common.
So the answer is 15*8 = 120.

Answer 5

120

Answer 6

120

Answer 7

step 1. prime factorise the denominators
15=3*5
12=2*2*3=2^2*3
8=2*2*2=2^3

step 2. take the highest power of the commomn factors
3,5 and 2^3


step3. multiply
3*5*2^3=120

step4. yourLeast Common multiple is 120

Answer 8

4/15 , 1/12 and 3/8
15=3*5
21=2^2*3
8=2^3
LCD=2^3*3*5=120
4/15=32/120
1/12=10/120
3/8=45/120

Answer 9

Least Common denominator is the LCM of the denominators
Here,the denominators are 15,12 and 8
Their LCM=120
Least Common Denominator is 120

Answer 10

it's 120. you have to find a number that all the denominators would go into equally.