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Algebraic LCM

Exercises providing practice finding the lowest common multiple of algebraic expressions.
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This is level 1: Find the lowest common multiple (LCM) of the expressions below:

1

\[4x \text{ and } 12\]

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Answer format clue:

 2

\[15 \text{ and } 6y\]

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Answer format clue:

 3

\[30z \text{ and } 15z\]

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Answer format clue:
4

\[14a \text{ and } 56a\]

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Answer format clue:

 5

\[b^2 \text{ and } b\]

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Answer format clue:

 6

\[c \text{ and } 3c^2\]

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Answer format clue:
7

\[2d \text{ and } 8d^3\]

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Answer format clue:

 8

\[20e^2 \text{ and } 15e\]

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Answer format clue:

 9

\[21f^3 \text{ and } 28f^2\]

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Answer format clue:
10

\[10p \text{ and } 15p^4\]

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Answer format clue:

 11

\[22q^2 \text{ and } 55q^2\]

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Answer format clue:

 12

\[13r^7 \text{ and } 19r^4\]

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Answer format clue:
Check

This is Algebraic LCM level 1. You can also try:
Level 2 Level 3 Level 4 Level 5

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

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Description of Levels

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Numeric HCF - Begin with the basics; practise finding the HCF of pairs of numbers

Level 1 - Expressions such as: 3c² and 9c

Level 2 - Expressions such as: 4x²y and 8xy³

Level 3 - Expressions with 3 variables and 3 terms

Level 4 - Exercise from an old textbook

Level 5 - More advanced exercise from an old textbook

Algebraic HCF - A very similar exercise that can be used to practise finding the highest common factor (HCF) of pairs of expressions

More on Factors including lesson Starters, visual aids, investigations and self-marking exercises.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Help

Before beginning this Algebraic HCF exercise you should have mastered
the numeric HCF Exercise.

To type an index or power us the caret symbol ^

For many questions at Levels 4 and 5 the lowest common multiple can be expressed in a number of different formats. The challenge is to find the same format that was printed in the textbook over one hundred years ago. Click on the question numbers in the answers block (at Levels 4 and 5) for a clue showing the required format.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

 

The video above is from @MarkWillisMaths

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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