The product of two numbers is 2880 and their LCM is 240. Find their HCF.
Answers
Answer:
Solution:−
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AnswEr:−
The L.C.M of two numbers = 120
\sf\underline{\red{\:\:\: Given:-\:\:\:}}
Given:−
Product of two numbers is 2880 and their HCF is 24.
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NeedToFind:−
The LCM of two numbers = ?
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Explanation:−
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Formulausedhere:−
\begin{gathered}\bigstar \: \boxed{ \sf \: Product\:of\:two\: numbers = H.C.F \times L.C.M} \\\\ \end{gathered}
★
Productoftwonumbers=H.C.F×L.C.M
\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}
Now,Puttingthevalues:−
\begin{gathered}\dashrightarrow \sf {2880 = 24 \times L.C.M} \\\\ \end{gathered}
⇢2880=24×L.C.M
\begin{gathered}\dashrightarrow \sf {L.C.M = \dfrac{\cancel{2880}}{\cancel{24}}\: } \\\\ \end{gathered}
⇢L.C.M=
24
2880
\begin{gathered}\dashrightarrow \sf {L.C.M = 120} \\\\ \end{gathered}
⇢L.C.M=120
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ThereFore:−
The L.C.M of two numbers is 120.
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Some more Information:
H.C.F ➪ Highest Common Factor.
L.C.M ➪ Least Common Multiple.
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Answer:
product of 2 numbers is 2880 and H.C.F is 24
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