Math, asked by nari50, 9 months ago

the numbers are in ratio 5:7 and their HCF is 33.their LCM is​

Answers

Answered by MavisRee
1

Answer:

LCM is 1155

Step-by-step explanation:

Given that numbers are in ration 5:7

Thus, the numbers are 5x and 7x

Given that HCF is 33

That means,

Numbers are (5 × 33) and (7 × 33)

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) = \frac{a . b}{HCF (a.b)}

LCM (a, b) = \frac {165 · 231}{33}

LCM (a, b) = 5 × 7 × 33

LCM (a, b) = 1155

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