Question

Ratio of L.C.M. and H.C.F. of smallest odd composite number and largest 2-digit composite number is

(a) 1:3 (b) 3:1 (c) 1:11 (d) 11:1​

Answer 1

Answer:

11.1 is answer of ratio is l.C.M

AND H.C.F of 2 digit

Answer 2

Given : LCM and HCF of smallest odd composite number and the largest 2-digit composite number

To Find : Ratio

Solution:

HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.

HCF = product of common factors of least power  

LCM  - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.

LCM = product of each factor  of highest power

composite number has more than 2 factors

odd numbers are not divisible by 2

Smallest odd composite number = 9

Largest 2-digit composite number  = 99

9 = 3 * 3

99 = 3 * 3 * 11

HCF = 3 * 3 = 9

LCM = 3 * 3 * 11 = 99

Ratio LCM : HCF  = 99 : 9

= 11:1

11 : 1 is the Ratio of LCM and HCF of smallest odd composite number and the largest 2-digit composite number

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