Math Drills
Common Multiples and Least Common Multiple
C-3Word 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)Kent goes to the library every 9 days, and Mikayla goes every 15 days. Today, the 2 of them went to the library. How many days later will the 2 of them next go to the library together? Answer □
Answer: 45days later
(2)You lay tiles 6cm high and 9cm wide to make squares. What is the length of 1 side of the smallest square you can make, in how many cm? Answer □
Answer: 18cm
(3)Robot A is inspected every 7 days, and Robot B is inspected every 10 days. Today, both were inspected. How many days later will both next be inspected? Answer □
Answer: 70days later
(4)Lamp A flashes every 5 seconds, and Lamp B flashes every 7 seconds. After they flash at the same time, how many seconds later do they next flash at the same time? Answer □
Answer: 35seconds later
(5)Lamp C flashes every 9 seconds, and Lamp D flashes every 10 seconds. After they flash at the same time, how many seconds later do they next flash at the same time? Answer □
Answer: 90seconds 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
