Math Drills
Common Multiples and Least Common Multiple
C-2Word Problems (Using the LCM)
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What this worksheet covers
- Worksheet
- Common Multiples and Least Common Multiple
What gets hunted turns from divisors to multiples. Questions writing out the first three multiples the two numbers share, and questions naming the smallest of them, stand together as Calculation, and Word Problems asking when stacked thicknesses or cycles first agree are included.
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Papers appear that write the two numbers simply multiplied together, taking it for the smallest common multiple. Divide the figure found by each of the two numbers and look at the two quotients that come out. If both can be divided by the same number, a smaller common multiple is still waiting.
In the next unit, Properties of Fractions, the greatest common divisor and the least common multiple found so far go straight to work as the tools for simplifying and for finding common denominators. Writing numbers out and pulling the shared ones from them was preparation for that.
- Using the Least Common Multiple5 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Properties of Integers (Divisors and Multiples)”, shown with their answers.
(1)You keep joining tapes 4cm long end to end, and separately keep joining tapes 5cm long. At what length do the two first become the same length, in how many cm? Answer □
Answer: 20cm
(2)Robot A is inspected every 8 days, and Robot B is inspected every 9 days. Today, both were inspected. How many days later will both next be inspected? Answer □
Answer: 72days later
(3)The bus departs every 9 minutes, and the train departs every 14 minutes. After they depart at the same time, how many minutes later do they next depart at the same time? Answer □
Answer: 126minutes later
(4)You stack boards 11cm thick and blocks 12cm thick in separate piles. At what height do the two piles first become the same, in how many cm? Answer □
Answer: 132cm
(5)The bus departs every 6 minutes, and the train departs every 8 minutes. After they depart at the same time, how many minutes later do they next depart at the same time? Answer □
Answer: 24minutes later
What to do next
More worksheets in this unit
Divisors and Multiples (Listing)Divisors and Multiples (Listing) Calculation (Multiples)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Calculation (Listing Common Divisors)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Calculation (Greatest Common Divisor)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Word Problems (Common Divisors)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Word Problems (Using the GCD)
Common Multiples and Least Common MultipleCommon Multiples and Least Common Multiple Calculation (Listing Common Multiples)
Common Multiples and Least Common MultipleCommon Multiples and Least Common Multiple Calculation (Least Common Multiple)
Properties of Integers (Divisors and Multiples) ReviewProperties of Integers (Divisors and Multiples) Review Calculation
Properties of Integers (Divisors and Multiples) ReviewProperties of Integers (Divisors and Multiples) Review Word Problems
