In this page lcm worksheet we are going to see some practice questions of the topic LCM (least common multiple)


LCM of two or more non zero whole numbers is the smallest whole number which is a multiple of each given number. In other words it must be the smallest whole number which is divisible by each number.

Find the LCM of the following

  1. x³ y² , x y z   Solution
  2. 3 x² y z , 4 x³ y³   Solution
  3. a² b c , b² c a ,c² a b    Solution
  4. 66 a⁴ b² c³ , 44 a³ b⁴ c² , 24 a² b³ c⁴    Solution
  5. a^(m + 1), a^(m + 2) , a^(m + 3)    Solution
  6. x² y + x y² , x² + x y    Solution
  7. 3 (a- 1) , 2 (a - 1)² , (a² - 1)   Solution
  8. 2 x² - 18 y², 5 x² y + 15 x y² , x³ + 27 y³    Solution
  9. (x + 4)² ( x - 3)³ , (x - 1) (x + 4) (x - 3)²    Solution
  10. 10 (9 x² + 6 x y + y²) , 12 (3 x² - 5 x y - 2 y²) , 14 (6 x⁴ + 2 x³) Solution

lcm worksheet lcm worksheet

Quote on Mathematics

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are: 

It subtracts sadness and adds happiness in our life.    

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”

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