When you can do addition and subtraction without recourse to it. Then it simply becomes a distraction.
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Yes, for solving simultaneous equations.
Integers are whole numbers without decimals or fractions which are useful because calculations are easier to work out.
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.
It makes calculations with very large and small numbers easier by allowing the 10-factors to be multiplied or divided by adding or subtracting their indices. (The principle of logarithms.)
When you're adding or subtracting fractions with different denominators, if you multiply the denominators that's your Quick Common Denominator. I'ts useful for denominators that don't have a low Least Common Factor.