Two numbers are in the ratio 3:4. Their L.C.M | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the two numbers be $3x$ and $4x$,where $x$ is the common factor.The prime factorization of the numbers is:$3x = 3 	imes x$$4x = 2^2 	imes x$

Vedclass · Accepted Answer

$28$

Vedclass · Answer

(C) Let the two numbers be $3x$ and $4x$,where $x$ is the common factor.The prime factorization of the numbers is:$3x = 3 	imes x$$4x = 2^2 	imes x$The $L.C.M.$ of $3x$ and $4x$ is $3 	imes 2^2 	imes x = 12x$.Given that the $L.C.M.$ is $84$,we set up the equation:$12x = 84$Solving for $x$:$x = 84 / 12 = 7$Now,calculate the two numbers:First number $= 3x = 3 	imes 7 = 21$Second number $= 4x = 4 	imes 7 = 28$Comparing the two numbers,$21$ and $28$,the greater number is $28$.

Two numbers are in the ratio $3:4$. Their $L.C.M.$ is $84$. The greater number is

Similar Questions

Find the greatest number which will divide $3962, 4085$ and $4167$ leaving the same remainder in each case.

The $L.C.M.$ of two numbers is $120$ and their $H.C.F.$ is $10.$ Which of the following can be the sum of those two numbers?

$H.C.F.$ of $\frac{2}{3}, \frac{4}{5}$ and $\frac{6}{7}$ is

The smallest number which when diminished by $7,$ is divisible by $12, 16, 18, 21$ and $28$ is

Find the maximum possible length which can be used to measure exactly the lengths $6 \, m$,$4 \, m \, 75 \, cm$,and $10 \, m \, 25 \, cm$. (in $, cm$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module