Question

The product of two digit number is 1944and their HCF is 18 what is the lcm

Answer 1

Answer:

LCM × HCF = Product of two numbers

LCM × 18 = 1944

LCM = 1944 ÷ 18

LCM = 108

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Answer 2

Answer:

Required LCM is 108.

Step-by-step explanation:

Given, product of two digit number is 1944 and their HCF is 18.

HCF means Highest Common Factor.

We know,

Product of two number = HCF × LCM

If x and y are two numbers and their HCF is a and LCM is b.

Then we can say,$x \times y = a \times b$

By one example,we can understand this concept more easily,

25 and 35 are two numbers and HCF of these two numbers is 5.

So,LCM$= \frac{Product \: of \: two \: numbers}{HCF} = \frac{25 \times 35}{5} = 5 \times 35 = 175$

So LCM of 25 and 35 is 175.

Here according to question,

LCM = $\frac{Product \: of \: two \: numbers}{HCF} = \frac{1944}{18} = 108$

Required LCM is 108.