Lcm of x and y is 720.lcm of 12x and 5y is 720.what is the value of x and y
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Let the HCF of x and y be z
∴xy=720z
⇒12x×5y=60×720z
⇒12x×5y=60z×720
∴HCF of 12x and 5y is 60z.Now,
HCF is factor of each number and their LCM.
∴12x and 5y both are multiple of 60.
.li.e., x is a multiple of 5 and y is multiple of 12 and their product is multiple of 720.
∴12x=240 and 5y=720
⇒x=20 and y=144
Hence, y=144
∴xy=720z
⇒12x×5y=60×720z
⇒12x×5y=60z×720
∴HCF of 12x and 5y is 60z.Now,
HCF is factor of each number and their LCM.
∴12x and 5y both are multiple of 60.
.li.e., x is a multiple of 5 and y is multiple of 12 and their product is multiple of 720.
∴12x=240 and 5y=720
⇒x=20 and y=144
Hence, y=144
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