Question

1.
If two numbers a and b are expressed as a = xyp and b = xq where x, y, P, qan
prime numbers, then lcm(a, b) is
(a) y
(b) xy pq (c) x²Fpq (d) x​

Answer 1

Answer:

d) x

Step-by-step explanation:

l c m of a & b is x because we finds the common factor of highest power

Answer 2

b) xy pq

If two numbers a and b are expressed as a = xyp and b = xq where x, y, P, q are prime numbers, then lcm(a,b) is xypq

Explanation:

The least common multiple (L.C.M.) of two numbers is a number that is divisible by both original numbers.

For example : L.C.M. of 10 and 20 is 20.

Given : Two numbers a and b are expressed as $a = xyp$ and $b = xq$ where x, y, P, q are prime numbers.

Then, the least common multiple of and b will be :

$L.C.M(a,b) = x ypq$

As $xypq$ is the least common multiple of and b such that it is divisible by both and b.

Hence, the correct answer is b) xy pq .

# Learn more :

Complete the formula

LCM×HCF=.........

LCM=......./HCF

HCF=......./LCM

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