Question

find the LCM of 96 and 360 by using fundamental theorem of arithmetic.


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Answer 1

Step-by-step explanation:

fundamental theorem of arithmetic:

Every composite number can be expressed as a product of powers of primes, and this factorization is unique, apart from the order in which the prime factors occur

96= 2^5*3

360=2^3*3^2*5

lcm(96,360)=product of the greatest power of each prime factors, in the numbers

=2^5*3^2*5

=1440