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Step-by-step explanation:
verify the product = HCF x LCM
first find the product = 112 x 168 = 18816
let's find the LCM of 112 and 168
= 336
let's find the HCF of 112 and 168:
Hcf
112 = 2x2x2x2x7
168 =2x2x2x3x7
Hcf = 2x2x2x7
= 56
Hence, = 112 x 168 = 336 x 56
= 18816
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Given :- for each pair of numbers , verify that their product = HCF * LCM .
Answer 1):-
Prime factors of 112 and 168 :-
→ 112 = 2 * 2 * 2 * 2 * 7
→ 168 = 2 * 2 * 2 * 3 * 7
LCM = 2 * 2 * 2 * 2 * 3 * 7 = 336 .
HCF = 2 * 2 * 2 * 7 = 56 .
So,
→ Product of numbers = HCF * LCM
→ 112 * 168 = 336 * 56
→ 18816 = 18816 (Verified.)
Answer 2):-
Prime factors of 156 and 364 :-
→ 156 = 2 * 2 * 3 * 13
→ 364 = 2 * 2 * 7 * 13
LCM = 2 * 2 * 3 * 7 * 13 = 1092 .
HCF = 2 * 2 * 13 = 52 .
So,
→ Product of numbers = HCF * LCM
→ 156 * 364 = 1092 * 52
→ 56784 = 56784 (Verified.)
Answer 3):-
Prime factors of 270 and 45 :-
→ 270 = 2 * 3 * 3 * 3 * 5
→ 45 = 3 * 3 * 5
LCM = 2 * 3 * 3 * 3 * 5 = 270 .
HCF = 3 * 3 * 5 = 45 .
So,
→ Product of numbers = HCF * LCM
→ 270 * 45 = 270 * 45
→ 12150 = 12150 (Verified.)
Answer 4):-
Prime factors of 380 and 1250 :-
→ 380 = 2 * 2 * 5 * 19
→ 1250 = 2 * 5 * 5 * 5 * 5
LCM = 2 * 2 * 5 * 5 * 5 * 5 * 19 = 47500 .
HCF = 2 * 5 = 10 .
So,
→ Product of numbers = HCF * LCM
→ 380 * 1250 = 47500 * 10
→ 475000 = 475000 (Verified.)