Question

Given that HCF (27, 153) = 9 then LCM (27, 153) is​

Answer 1

Answer:

459

Step-by-step explanation:

we know that

HCF * LCM = Product of the numbers

9*LCM = 27*153

LCM = 153*3 = 459

Answer 2

Answer:

LCM (27,153) = 459

LCM of two numbers 27 and 153 is 459.

Step-by-step explanation:

HCF:

• HCF stands for Highest Common Factor.

• HCF of two or more numbers is the greatest factor that divides the numbers.

• It is the largest positive integer that divides the numbers without leaving a remainder.

• Eg: HCF of 8 and 12 is 4

LCM:

• LCM stands for Least Common Multiple.

• LCM is the smallest integer that is divisible by the numbers.

• Eg: Consider 2 numbers 8 and 12

• Multiples of 8 = 16,24,32,40,..

• Multiples of 12 = 24,36,48,...

• Here, the smallest common multiple is 24. ∴ LCM = 24

Relation between LCM and HCF:

For two numbers x and y,

LCM (x,y) × HCF (x,y) = Product of the two numbers

Given:

Two numbers = 27 and 153

HCF of 27 and 153 = 9

Find:

LCM of 27 and 153 = ?

Solution:

Product of the two numbers = $27 \times 153$

                                               = $4131$

We know that,

LCM × HCF = Product of the numbers

⇒ LCM × $9$ = $4131$

⇒ LCM = $\frac{4131}{9}$

⇒ LCM = $459$

Therefore, LCM (27,153) = 459

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