Given:
Numbers: 36, 45, 465, 310
Formula Used:
LCM = Product of highest powers of all prime factors involved.
Solution:
Prime factorization:
36 = 2² × 3²
45 = 3² × 5
465 = 3 × 5 × 31
310 = 2 × 5 × 31
LCM = 2² × 3² × 5 × 31 = 4 × 9 × 5 × 31 = 36 × 155 = 5580
Therefore, the LCM of 36, 45, 465 and 310 is 5580.
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