can two numbers have 45 as ther H.C.F and 240 L.C.M ? give reason to support your answer .
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product of two numbers=x, LCM=240,HCF=45
product of two numbers = lcm × hcf
x=240×45
x=10800
so therefore product of two numbers=10800
product of two numbers = lcm × hcf
x=240×45
x=10800
so therefore product of two numbers=10800
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No,
suppose 1 no. is X & other be Y now suppose the HCF of X & Y is 45 thn its cn b factories
45*m
45*n
m& n r common factors
here LCM is 45*m*n
45mn=240
mn =5.33
since the product is in decimal form it cn b deduced that two no. cannot have HCF as 45 & LCM as 240
suppose 1 no. is X & other be Y now suppose the HCF of X & Y is 45 thn its cn b factories
45*m
45*n
m& n r common factors
here LCM is 45*m*n
45mn=240
mn =5.33
since the product is in decimal form it cn b deduced that two no. cannot have HCF as 45 & LCM as 240
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