Question

HCF of two numbers 36 and 90 is 18 . find their LCM.​

Answer 1

Answer:

product of two numbers = lcm×hcf

then lcm = 90×36/18 = 180 answer....

Answer 2

Answer:

180

Step-by-step explanation:

1. Find the prime factorization of 36

36 = 2 × 2 × 3 × 3

2. Find the prime factorization of 90

90 = 2 × 3 × 3 × 5

3. Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the lcm:

LCM = 2 × 2 × 3 × 3 × 5

4. LCM = 180

OR

Product of LCM and HCF = Product of the 2 numbers

Then LCM =  Product of the 2 numbers/HCF

= 36 x 90 / 18

= 3240 / 18

= 180

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