Find LCM and HCF of 2 5 × 5 4 × 7 2 × 136 2 3 × 5 6 × 7 × 173??
Answers
Prime factorisation of the given numbers are : 54 = 2 × 3 × 3 × 3 72 = 2 × 2 × 2 × 3 × 3 90 = 2 × 3 × 3 × 5 Notice that 2 occurs as a common .
Answer:
LCM = 25,77,36,06,43,200
HCF = 8
Step-by-step explanation:
25 = 5 x 5
54 = 2 x 3 x 3 x 3
72 = 2 x 2 x 2 x 3 x 3
136 = 2 x 2 x 2 x 17
25 x 54 x 72 x 136 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 17
23 = 1 x 23
56 = 2 x 2 x 2 x 7
7 = 1 x 7
173 = 1 x 173
23 x 56 x 7 x 173 = 2 x 2 x 2 x 7 x 7 x 23 x 173
TO FIND HCF = 25 x 54 x 72 x 136
23 x 56 x 7 x 173
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 17
= 2 x 2 x 2 x 7 x 7 x 23 x 173
HCF is = 2 x 2 x 2 = 8
LCM is = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 17 x 7 x 7 x 23 x 173 x 8
( underline numbers i make their product after multiply)
LCM = 16 x 27 x 9 x 25 x 17 x 49 x 23 x 173 x 8
LCM = 25,77,36,06,43,200