Question
Download Solution PDFDetermine the LCM of two numbers if their HCF is 9 and their ratio is 14 : 19.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
HCF is 9 and their ratio is 14 : 19.
Concept used:
1. LCM is the smallest common multiple of two or more numbers.
2. HCF is the largest number or quantity that is a factor of each member of a group of numbers.
Calculation:
First number = 14 × 9 = 126
Second number = 19 × 9 = 171
LCM (126, 171)
⇒ 9 × 14 × 19
⇒ 2394
∴ Their LCM is 2394.
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