Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Lowest common multiple

A = 2^4 x 3² x 7
B = 2³ x 3^4 x 5

find the LCM

Obviously the LCM is the first common number in both their times tables but whats the method used to work it out when the numbers have been written as products of primes? :tsr2:

:tsr2:

mrmanps

A = 2^4 x 3² x 7
B = 2³ x 3^4 x 5

find the LCM

Obviously the LCM is the first common number in both their times tables but whats the method used to work it out when the numbers have been written as products of primes? :tsr2:

:tsr2:

A : B
=> 2^4 x 3² x 7 : 2³ x 3^4 x 5
=> (2^4 x 3² x 7)/(2³ x 3^4 x 5) : 1
=> (2 x 3² x 7)/(3^4 x 5) : 1
=> 14/45 : 1
=> 14 : 45

so A x 45 = B x 14 = 2³ x 3^4 x 5 x 14 = 45360

Take the product of primes with the biggest exponent.
You'll see LCM = 2^4 x 3^4 x 7 x 5
(e.g for A = 2^3 x..., and B = 2^4 x ... then take 2^4 ...)

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