The strangers is already plural so the possessive form is strangers' adding an apostrophe at the end. However odd it may look it is correct and you do not add another s or 'es to the end.
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The plural possessive form of "strangers" is "strangers'." For example, "The strangers' cars were parked outside."
The word "strangers'" is plural possessive, indicating something that belongs to multiple strangers.
Singular possessive: secretary's Plural: secretaries Plural possessive: secretaries'
The plural is relatives. The plural possessive is relatives'.
The plural is lads. The plural possessive is lads'.