LCM-a-3-5-a-3a-a-

Question Number 93982 by Rasheed.Sindhi last updated on 16/May/20

LCM (a, \frac{3}{5} a) = 3 a

a = ?

Commented by mr W last updated on 16/May/20

a = 5 b

L C M (5 b, 3 b) = 3 \times 5 b

t h i s i s t r u e f o r a n y b ⩾ 1 . t h e r e f o r e

a = 5, 10, 15, \dots

Commented by PRITHWISH SEN 2 last updated on 16/May/20

the qiestion cannot have any unique solution

it can be true for almost every value of a \in R

as if a = 2

then LCM (2, \frac{6}{5}) = \frac{LCM of 2, 6}{HCF of 1, 5} = \frac{6}{1} = 6 = 3.2

Commented by mr W last updated on 16/May/20

w h a t i k n o w i s t h a t t h e f u n c t i o n

L C M a p p l i e s o n l y t o t w o o r m o r e

i n t e g e r s . t h e r e f o r e \frac{3}{5} a s h o u l d b e

i n t e g e r .

Commented by PRITHWISH SEN 2 last updated on 16/May/20

LCM for two or more factors = \frac{LCM of numerator}{HCF of denominator}

HCF for two or more factors = \frac{HCF of numerator}{LCM of denominator}

Commented by mr W last updated on 16/May/20

t h a n k s s i r!

Commented by PRITHWISH SEN 2 last updated on 16/May/20

welcome sir .

Commented by Rasheed.Sindhi last updated on 16/May/20

T h a n k y o u a l l s i r s!