Question

show that the product of 224 and 348 is equal to the product other hcf and lcm

Answer 1

The product of 224 and 348 =77952

Now, 224=2×2×2×2×2×7
348=2×2×3×29

HCF of 224 and 348=2×2
Lcm of 224 and 348=2×2×2×2×2×3×7×29

HCF × LCM =2×2×2×2×2×2×2×3×7×29

According to the question

PRODUCT OF LCM×HCF OF 224 AND 348 = PRODUCT OF 224 AND 348

2×2×2×2×2×2×2×3×7×29=224×348


77952=77952

LHS=RHS

Hence proved