Find the greatest common factor and least common multiple of 20 and 82. Are the LCM (20; 82) divisib

univerkov | June 12, 2021 | education

Find the greatest common factor and least common multiple of 20 and 82. Are the LCM (20; 82) divisible by 2, 3,5,9,10? Factor this number.

Let’s expand the numbers 20 and 82 into prime factors.
20 = 2 * 2 * 5.
82 = 2 * 41.
Find GCD and LCM numbers.
GCD (20; 82) = 2.
LCM (20; 82) = 2 * 2 * 5 * 41 = 820.
820/2 = 410.
820/3 – not divisible.
820/5 = 164.
820/9 – not divisible.
820/10 = 82.
820 = 2 * 2 * 5 * 41.

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