Question

The product of two 2-digit numbers is 1134 and their HCF is 9.What is their LCM?

Answer 1

Answer:

Answer is 126

Step-by-step explanation:

Product of two number= HCF× LCM

HCF is 9 so LCM will be 1134÷9=126

Answer 2

SOLUTION

GIVEN

• The product of two 2-digit numbers is 1134

• Their HCF is 9.

TO DETERMINE

The LCM

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

EVALUATION

Here it is given that product of two 2-digit numbers is 1134

Their HCF is 9.

We know that

LCM × HCF = Product of the numbers

$\displaystyle \sf{ \implies LCM \times 9 = 1134 }$

$\displaystyle \sf{ \implies LCM = \frac{1134}{9} }$

$\displaystyle \sf{ \implies LCM = 126 }$

FINAL ANSWER

Hence the required LCM = 126

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