Question

The ratio of two number is 4:7 and their HCF is 6. Find out their LCM
1.164
2. 168
3. 174
4. 184

Answer 1

Since we want the HCF to be 6, therefore the numbers must have factors of 6.

So.. 4 x 6 = 24 and. 7 x 6 = 42

Now we found our two numbers, we need the LCM

24 = 2 x 2 x 2 x 3

42 = 2 x 3 x 7

LCM = 2 x 2 x 2 x 3 x 7 = 168

Please mark brainliest or thanks if it helped :D

Answer 2

Answer:

The LCM is 168

Step-by-step explanation:

Given that the ratio of two number is 4:7 and their HCF is 6.

we have to find the LCM of two numbers.

Let the two numbers are 4x and 7x

The LCM is 28x

The relation between HCF and LCM is

$LCM\times HCF=\text{product of two numbers}$

$28x\times 6=4x\times 7x$

$x=\frac{28\times 6}{4\times 7}=6$

Hence, the LCM is

$LCM=28\times 6=168$

Option 2 is correct.