Math Problems: Simplification, Divisibility, HCF, and LCM

Simplification of Numbers

• Simplify the given expression: 4,35,06,789 - 76,28,635 + 64,93,211
• Final answer in international system: 3,23,71,365

Divisibility Rules

• 5695 is divisible by 5
• 4236 is not divisible by 6
• 68709 is divisible by 9
• 108515 is not divisible by 11
• 26700 is divisible by 4

HCF and LCM Problems

• HCF of 12, 18, and 30 by prime factorization method: 6
• HCF of 36, 80, and 120 by long division method: 12
• HCF of 18, 16, and 48 by listing method: 2

LCM Problems

• First five multiples of 9: 9, 18, 27, 36, 45
• First five multiples of 18: 18, 36, 54, 72, 90
• LCM of 9 and 18: 90
• LCM of 15, 35, and 45 by long division method: 1575

LCM and HCF Word Problems

• If HCF of two numbers is 6 and LCM is 432, and one of the numbers is 48, then the other number is 54

Word Problems

• Total number of bags produced by three sugar factories in 2023: 52,498,608
• Votes received by the losing candidate: 58,88,887
• Total cost of all the flats constructed by the builder: Rs. 26,43,76,80,000
• Other co-prime number with 15 is 25
• Total amount withdrawn by the man: Rs. 68,405
• Balance in the man's account: Rs. 1,31,595

Solve various math problems including simplification, divisibility rules, and finding the highest common factor (HCF) and lowest common multiple (LCM) using different methods.