find the hcf of 525 and 1120 by prime factorization method. then, find their l. c. m using the relation formula.
Answers
Answered by
46
Answer:
HCF = 35
LCM = 16800
Step-by-step explanation:
525 = 5 x 5 x 3 x 7 x 1
1120 = 5 x 2 x 2 x 2 x 2 x 2 x 7 x 1
HCF = 5 x 7 x 1 = 35
LCM = ?
RELATION :
HCF x LCM = Product of two numbers
35 x LCM = 525 x 1120
LCM = 588000/35
LCM = 117600/7
LCM = 16800
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Answered by
9
Step-by-step explanation:
GIVEN THAT:
- Find HCF of 525 and 1120
SOLUTION:
525 = 5×5×3×7
1120 = 7×5×2×2×2×2×2
So,
HCF can be written as
5×7 = 35
REQUIRED RELATION :
HCF × LCM = Product of the numbers
REQUIRED LCM:
LCM = Product of the numbers /HCF
LCM = (525×1120) / 35
LCM = 15 × 1120
LCM = 16800
CONCLUSION:
- LCM of 525 and 1120 is 16800
VERIFICATION :
5| 525,1120
5| 105,224
3| 21,224
7| 7,224
2|1,112
2|1,56
2|1,28
2|1,2
2|1,1
LCM = 5×5×7×3×2×2×2×2×2
LCM = 25×7×3×32
LCM = 16800
HENCE VERIFIED
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