Math Exercises: The Least Common Multiple and Greatest Common Divisor 
Find the least common multiple and greatest common divisor of the given two numbers :
Find the least common multiple and greatest common divisor of the given three numbers :
Find the least common multiple and the greatest common divisor of numbers 12, 24, 48, 192 and 288.
During the reconstruction of the railway tracks 40 meter long pieces of rails were replaced by 15 meter long pieces. What is the shortest stretch of the rail track that can be replaced without cutting the rails ?
Consider a cube whose edge length is an integer. By what minimum number of such identical cubes can be formed a cuboid with dimensions of 24 cm x 32 cm x 60 cm ? How long will be the edge of these cubes ?
On which the largest amount of small groups can be divided 90 children and 24 teachers in order to be in each group the same number of children and the same number of teachers ?
What is the least number of squares in the chocolate which we can divide fairly between 5 friends and also between 7 friends ?
At least how many students should be in the class so that they all be able to lineup without residue in the row of three, four, five and six students ?
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