Find the lcm of 140and 168.use the lcm obtained to find the hcf of the given Numbers
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Answers
Answered by
74
See
140=2×2×5×7
168=2×2×2×3×7
Common FACTORS=2×2×7
UNCOMMON FACTORS=3×2×5
LCM=CF×UF=2×2×7×3×2×5=840
So LCM is 840
HCF×LCM=Product of given numbers
HCF=140×168/840=28
So the HCF is 28
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140=2×2×5×7
168=2×2×2×3×7
Common FACTORS=2×2×7
UNCOMMON FACTORS=3×2×5
LCM=CF×UF=2×2×7×3×2×5=840
So LCM is 840
HCF×LCM=Product of given numbers
HCF=140×168/840=28
So the HCF is 28
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Answered by
32
LCM = 840 and HCF = 28
Step-by-step explanation:
We have,
140 and 168
To find, the LCM of 140 and 168 = ? and
the LCM of 140 and 168 = ?
∴ 140 and 168
140 = 2 × 2 × 5 × 7 and
168 = 2 × 2 × 2 × 3 × 7
The LCM of 140 and 168 = 2 × 2 × 2 × 3 × 5 × 7
= 24 × 35 = 840
We know that,
LCM × HCF = Pdoduct of two numbers
⇒ 840 × HCF = 140 × 168
⇒
⇒
⇒ HCF = 28
∴ LCM = 840 and HCF = 28
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