Question

the Lcm of 3/4 6/5 4/15 is
A] 12
B] 1/12
C] 7
D]24

Answer 1

d) 24

sorry I'm not conform

Answer 2

Given: $\frac{3}{4}, \: \frac{6}{5} , \: \frac{4}{15}$

To find: LCM of given fractions.

Step by step Explanation:

Tip:

LCM of fraction: LCM of numerator/HCF of denominator

Step 1: Find LCM of numerator.

Numerators of fractions are 3,6 and 4

Do prime factors to find LCM

$3 = 3 \times 1 \\ 6= 2 \times 3 \\ 4 = 2 \times 2$

$LCM(3,6,4) = {2}^{2} \times 3$

$\bf LCM(3,6,4) = 12$

Step 2: Find HCF of denominator.

Denominator of fractions are 4,5, 15

$4 = 2 \times 2 \\ 5 = 5 \times 1 \\ 15 = 3 \times 5$

$\bf HCF(4,5,15) = 1$

Step 3: Find the LCM of fractions.

$LCM\left(\frac{3}{4},\frac{6}{5},\frac{4}{15}\right)=\frac{LCM(3,6,4)}{HCF(4,5,15)}$

$LCM\left(\frac{3}{4},\frac{6}{5},\frac{4}{15}\right)=\frac{12}{1}$

$LCM\left(\frac{3}{4},\frac{6}{5},\frac{4}{15}\right)=12$

Final answer:

$\bf LCM\left(\frac{3}{4},\frac{6}{5},\frac{4}{15}\right)=12$

Option A is correct.

Hope it will help you.

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