Question

4. Find the L.C.M & H.C.F of 336 and 54 & verify that H.C.F X L.C.M = Product of two numbers

Answer 1

Heya !!!






Prime factorisation of 336 = 2 × 2 × 2 × 2 × 3×7




Prime factorisation of 54 = 2 × 3 × 3 × 3




HCF of 336 and 54 = 2 × 3 = 6



And,



LCM of 336 and 54 = 2 × 3 × 2 × 2 × 2 × 7 × 3 × 3 = 3024





Product of two numbers = 336 × 54 = 18144



And,




LCM× HCF = 3024 × 6 = 18144



Hence,


Product of two numbers = HCF × LCM.






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