Adding or subtracting fractions requires the use of a common multiple. It is rare that the LEAST common multiple is required - it is useful to keep the numbers small and manageable.
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In finding the LCM or HCF of two or more numbers
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?
The LCM of 54 and 210 is 26....Using the ladder method
To add fractions.
the LCM of 42 and 126 using a prime factorization is 2 times 2 times 3