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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60 Mins English English20 Questions40 Marks12 Mins English English160 Marks60 Mins EnglishFind the smallest number which when increased by 20 is completely divisible by 12, 20, 15, 18 and 24.
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The LCM of 26, 34, 221 and 195 is:
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