Let's solve two common basic math questions: finding the Lowest Common Multiple (LCM) of two large numbers, and identifying the largest possible 5-digit number.
LCM of 306 and 657: 22,338.
Smallest 5-digit number: 10,000.
Largest 5-digit number: 99,999.
To find the LCM of 306 and 657, we first find their prime factors:
To find the LCM, we multiply the highest powers of all prime factors involved: LCM = 2 × 3² × 17 × 73 LCM = 2 × 9 × 17 × 73 = 22,338
(Note: This is a classic NCERT Class 10 math problem where HCF is given as 9, and you can also use the formula: LCM × HCF = Product of two numbers. LCM = (306 × 657) / 9 = 22,338).
In the decimal number system, the largest single digit is 9. Therefore, to create the largest possible number with 5 digits, you simply write the digit 9 five times.
The Lowest Common Multiple (LCM) of 306 and 657 is 22,338.
The largest 5-digit number is 99,999.
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