LCM Word Problems

Find the least number which when increased by 8 is exactly divisible by 20, 25 and 30.
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find the smallest 4 digit no. which is exactly divisible by 6,8,12 .
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Find the greatest number of four digits which is exactly divisible by each of 12, 18, 40 and 45.
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The GCF of two numbers is 30. The LCM is 420. One of the numbers is 210. What is the other number?
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If Lucy has 19 inches of string and Carlos has 4 inches, Can the two kids have the same length of string.
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A blue light blinks every 3 min..Red light blinks every 4 min. While yellow light blinks every 5 min. The 3 light blinked together at 9:00 A.m What time will they blink together again?
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the length and width of a rectangle are 108 and 144 m. trees are equal in interval along the sides of the garden. If the least common number of trees is to be planted what is a) interval between two neighboring trees b) total number of trees planted
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There are fewer than 6 dozen eggs in a large basket. If you count them 2, 3, 4, or 5 at a time, there are none left over. How many eggs are in the basket?
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Find the greatest number of six digits which is exactly divisible by each of 24,15,36
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What least number must be multiplied to 12288 so that the product becomes a perfect square?
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Sane has 72 inches of copper wire and 42 inches of steel wire. What is the largest piece of wire he can cut so that each piece is the same length? How many pieces of copper wire and how may pieces of steel wire well he have?
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math club has 3 schools. each club must be divided into teams and all teams must be equal size. what is the greatest number of members that can be on a team if clemson has 16 members, sc has 24 members, and georgia has 72 members?
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Three clocks ring once at the same time. After that, the first clock rings after every 90 minutes, the second after every 30 minutes, and third after every 60 minutes. After how many minutes will they again ring together?
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