how to find out lcm of two unlike fractions ?

what is the lcm of 1/4 and 5/6

1) Find the LCM of b and d = LCM(b,d)

2) Multiply numerator and denominator of first fraction by LCM(b,d)/b.

3) Multiply numerator and denominator of first fraction by LCM(b,d)/d.

4) After this multiplication, denominator of both fractions are same.

5) Find LCM of new numerators.

The answer is LCM(numerators)/LCM(b,d)

Now lets find the LCM of 1/4 and 5/6.

1) Find the LCM of 4 and 6 = 12

2) Multiply first fraction by $\frac{12}{4}$ = 3

Multiply the second fraction by $\frac{12}{6}$ = 2

So now first fraction is $\frac{1\times 3}{4\times 3}=\frac{3}{12}$

and the second fraction is $\frac{5\times 2}{6\times 2}=\frac{10}{12}$

3) Since both denominators are same, LCM of numerators 3 and 10 = 30

4) Hence LCM of $\frac{1}{4}$ and $\frac{5}{6}$ is $\frac{30}{12}$

After simplification $\frac{30}{12}$ = $\frac{5}{2}$

Therefore, LCM of 1/4 and 5/6 is $\frac{5}{2}$.

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