Question

Find the LCM and HCF of 25/6 and 15/4

Answer 1

Answer:

This is correct me third to find LCM and HCF

Answer 2

Given:

25/6 and 15/4

To Find:

Find the LCM and HCF

Solution:

HCF or the highest common factor is defined as the highest factor which can divide the numbers. It can be obtained for two or more numbers.

LCM or Least common multiple is defined as the lowest multiple which divides the numbers. It can be obtained for two or more numbers.

To find the LCM and HCF of fractions we use the formula as

$HCF=\frac{HCF of Numerator}{LCM of Denominator} \\\\LCM=\frac{LCM of Numerator}{HCF of Denominator}$

Now to find the LCM of 25/6 and 15/4,

$LCM=\frac{LCM(25,15)}{HCF(6,4)}\\\\ =\frac{75}{2}$

So LCM is 75/2,

Now the HCF of 25/6 and 15/4,

$HCF=\frac{HCF(25,15)}{LCM(6,4)}\\\\ =\frac{5}{12}$

So the HCF is 5/12

Hence, the LCM and HCF of 25/6 and 15/4 are 75/2 and 5/12 respectively.