Question

Answer this with proper explanation plz​

Answer 1

Given :-

• Given that HCF ( 2520 , 6600 ) , LCM ( 2520 , 6600 ) = 252 × X
• ( a ) = 560 ( b ) 550 ( c ) 660 ( d ) 2520

To Find :-

• Find the value of X

Required Answer :-

$\large \tt \green {◍ \: \: ʟᴄᴍ = (2520,6600) = 252 \times x} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\large \tt \green {◍ \: \: hence \: \: first \: \: of \: \: all \: \: we \: \: find \: \: ʟᴄᴍ} \\ \\ \large \tt \green {◍ \: \: ʟᴄᴍ \: \: of \: \: (2520,6600) } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \tt \green { Find \: \: the \: \: prime \: \: factorization \: \: of } \\ \\ \large \tt \green {2520 = 2 × 2 × 2 × 3 × 3 × 5 × 7 }\\ \\ \large \tt \green {Find \: \: the \: \: prime \: \: factorization \: \: of } \\ \\ \large \tt \green{6600 = 2 × 2 × 2 × 3 × 5 × 5 × 11 }\\ \\ \large \tt \green {Multiply \: \: each \: \: factor } \\ \\ \large \tt \green {the \: \: greater \: \: number \: \: of \: \: times} \\ \\ \large \tt \green { it \: \: occurs \: \: in \: \: steps } \\ \\ \large \tt \green { above \: \: to \: \: find \: \: the \: \: LCM:}\\ \\ \large \tt \green{LCM = 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11}\\ \\ \large \tt \green {LCM = 138600}$

$\large \tt \green { ◍ \: \: ʟᴄᴍ (2520,6600) = 252 \times x} \\ \\ \large \tt \green { ◍ \: \: 138600 = 252 \times x} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \tt \green { ◍ \: \: \frac{138600}{252} = x \:} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \tt \pink { ◍ \: x = 550\:} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

I hope it helps you ❤️✔️