Question

smallest common multiple of 36 and 60 + biggest common factor of 18 and 45 is equal to ​

Answer 1

Answer:

189

Step-by-step explanation:

The first part,

$36=2^2*3^2\\\60=2^2*3*5$

LCM = multiplication of the highest power of each factor

$=2^2*3^2*5\\=180$

Now the second part,

$18=2*3^2\\45=3^2*5$

HCF = multiplication of the lowest power of each common factor

$=3^2\\=9$

Therefore,

$LCM(36,60)+HCF(18,45)\\=180+9\\=189$

NOTE:-

Smallest common Multiple and Biggest common factor mean LCM and HCF respectively.