What is the L-C-M- of 614 and 27-

The correct option is C 67 Let the given fractions be a=614 and #160; b=27 LCM of two or more fractions is given by #160;LCM of Numerators d ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard V

Mathematics

Halves

What is the ...

Question

What is the $L . C . M .$ of $\frac{6}{14}$ and $\frac{2}{7}$ ?

\frac{3}{7}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{6}{7}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{4}{7}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{5}{7}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\frac{6}{7}$
Let the given fractions be $a = \frac{6}{14}$ and $b = \frac{2}{7}$

LCM of two or more fractions is given by LCM of Numerators divided by HCF of Denominators and thus

LCM of the numerators $(6, 2) = 6$
HCF of the denominators $(14, 7) = 7$

Therefore,

LCM $(a, b) = \frac{6}{7}$

Hence, the LCM of $\frac{6}{14}$ and $\frac{2}{7}$ is $\frac{6}{7}$

Suggest Corrections

Similar questions

2/3 x [-6/7+4/5]=[ 2/3 x 4/5] x (-6/7)

(5 + 6 \times 3 - 4) + (5 \times 6) \times (14 - 7)

=

_____.

Q. How many 7s immediately preceded by 6 but not immediately followed by 4 are there in the following series?
7 4 2 7 6 4 3 6 7 5 3 5 7 8 4 3 7 6 7 2 4 0 6 7 4 3

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Q. Find the L.C.M. of

\frac{4}{5}

\frac{5}{6}

and

\frac{7}{15} .

Join BYJU'S Learning Program

What is the L.C.M. of 614 and 27?

The correct option is C 67Let the given fractions be a=614 and b=27LCM of two or more fractions is given by LCM of Numerators divided by HCF of Denominators and thusLCM of the numerators (6,2)=6HCF of the denominators (14,7)=7Therefore, LCM(a,b)=67Hence, the LCM of 614 and 27 is 67

What is the $L . C . M .$ of $\frac{6}{14}$ and $\frac{2}{7}$ ?