Question

Two number are in ratio 4:5,if their HCF is 18 then LCM of the number is :​

Answer 1

Given :- Two number are in ratio 4:5,if their HCF is 18 then LCM of the number is ?

Answer :-

Let us assume that, two numbers are 4x and 5x .

so,

→ HCF of 4x and 5x will be = x .

A/q,

→ x = 18 .

then,

→ First number = 4 * 18 = 72

→ second number = 5 * 18 = 90 .

now, we know that,

→ LCM * HCF = first number * second number

→ LCM * 18 = 72 * 90

→ LCM = 4 * 90

→ LCM = 360 (Ans.)

Learn more :-

वह छोटी से छोटी संख्या बताईये जिसमे 7,9,11 से भाग देने पर 1,2,3 शेष बचे

https://brainly.in/question/9090122

Answer 2

Given:

Two number are in ratio 4:5, their HCF is 18

To find:

LCM of those numbers

Solution:

Two number are in ratio 4:5, their HCF is 18

we know that: Product of two numbers = HCF x LCM

It is given that the Product of two numbers are in the ratio of 4:5

$= > 4x \times 5x$

According to the question, HCF is given as 18 which is the highest common factor.

$= > 4(18) \times 5(18) = 18 \times Lcm$

$= > 72 \times 90 = 18 \times Lcm$

$= > 6480 = 18 \times Lcm$

$= > Lcm = \dfrac{6480}{18}$

$= > Lcm = 360$

Hence, the required answer is 360