Find the LCM and HCF of 336- 54 and verify that LCM - HCF - product of the two numbers-

336 = 2 × 2 × 2 × 2 × 3 × 7 54 = 2 × 3 × 3 × 3 HCF = 2 × 3 = 6 LCM = 2 × 2 × 2 × 2 × 3 × 3 × 3 × nbsp;7 =3024 Product of two numbers = 336 × 54 =18144 Product ...

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Standard IX

Mathematics

Method of Finding LCM

Find the LCM ...

Question

Find the LCM and HCF of 336, 54 and verify that LCM $\times$ HCF = product of the two numbers.

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Solution

$336 = 2 \times 2 \times 2 \times 2 \times 3 \times 7$
$54 = 2 \times 3 \times 3 \times 3$
HCF = $2 \times 3 = 6$
LCM = $2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 7 = 3024$
Product of two numbers = $336 \times 54 = 18144$
Product of HCF and LCM $= 6 \times 3024 = 18144$
Hence, product of two numbers $= H C F \times L C M$ .

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Question 2 (iii)
Find the LCM and HCF of 336, 54 and verify that LCM $\times$ HCF = product of the two numbers.

Q. Find the

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L C M \times H C F =

product of the two numbers.

Q. Find the LCM and HCF of the following pairs of integers and verify that LCM

\times

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Q. Question 2 (iii)
Find the LCM and HCF of the following pairs of integers and verify that LCM

\times

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Q. Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = Product of the integers:
(i) 26 and 91
(ii) 510 and 92
(iii) 336 and 54

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Find the LCM and HCF of 336, 54 and verify that LCM × HCF = product of the two numbers.

336=2×2×2×2×3×7 54=2×3×3×3 HCF = 2×3=6 LCM = 2×2×2×2×3×3×3×7=3024 Product of two numbers = 336×54=18144 Product of HCF and LCM =6×3024=18144 Hence, product of two numbers =HCF×LCM.

Find the LCM and HCF of 336, 54 and verify that LCM $\times$ HCF = product of the two numbers.