Question

The hcf of three numbers is 24. If the numbers be in the ratio 35:55:77, their lcm is

Answer 1

Answer:

LCM is 14,229,600

Step-by-step explanation:

Given that numbers are in ratio 35 : 55 : 77

Thus, the numbers are 35x, 55x and 77x

Given that HCF is 24

That means,

Numbers are (35 × 24), (55 × 24) and (77 × 24)

i. e 165 and 231

LCM of two numbers a and b is the smallest positive integer that can divide both a and b

Relation between LCM and HCF is given as

LCM (a, b,c) = \frac{a . b . c}{HCF (a, b, c)}

LCM (a, b, c) = \frac {(35 × 24) . (55 × 24) . (77 × 24)}{24}

LCM (a, b, c) = 35 × 24 × 55 × 24 × 77

LCM (a, b, c) = 14,229,600

Answer 2

Answer: 9240

Step-by-step explanation: