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Question
Find the L.C.M. and H.C.F. of 408 and 170 by applying the fundamental theorem of Arithmetic
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Solution
Factorise 408 and 170 by factor tree method
408 = 23 × 3 × 17
170 = 2 × 5 × 17
To find L.C.M. list all prime factors of 408 and 170 of their greatest exponents.
L.C.M. = 23 × 3 × 5 × 17
= 2040
To find the H.C.F. list all common factors of 408 and 170.
H.C.F. = 2 × 17 = 34
L.C.M. = 2040 ; HCF = 34
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