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In finding the LCM or HCF of two or more numbers
The HCF helps when reducing fractions. The LCM helps when adding or subtracting fractions.
LCM is used to find the lowest common denominator in fractions HCF is used to reduce fractions to their simplest terms
You use the LCM when you want to add or subtract fraction and then you can use the HCF to simplify the result. You may want to do this when budgeting: for example one quarter of your pay goes on rent, two fifths goes on food and drink, and so on. So how much of your pay is available for discretionary spending?
Any job where you need to add or subtract fractions.