Find the LCM of the following numbers:
(a) $9$ and $4$
(b) $12$ and $5$
(c) $6$ and $5$

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Solution

$(a) 9 = 3 \times 3 4 = 2 \times 2 ∴ L C M = 2 \times 2 \times 3 \times 3 = 36 (b) 12 = 3 \times 4 5 = 1 \times 5 ∴ L C M = 1 \times 3 \times 4 \times 5 = 60 (c) 6 = 3 \times 2 5 = 1 \times 2 ∴ L C M = 1 \times 2 \times 3 \times 5 = 30$

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Similar questions

Find the LCM of the following numbers:

(a) 9 and 4 (b) 12 and 5

Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

Q. Suppose

U = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, A = {3, 4, 5, 6, 9}, B = {3, 7, 9, 5}

and

C = {6, 8, 10, 12, 7}

. Write down the following sets and draw Venn diagram for each:

(C^{'})^{'}

Add the following:

$(i) 5 a^{2} b^{2} + 10 a b - 12 a^{2} + 15 b - 20$ and $34 a b + 24 a^{2} + 22 b + 24$

$(i i) a b c + 6 b c d + a b d - 9 a b + 4 b c - 9 a - 43$ and $4 a c d + 10 a c - 54 b - 32 c$

$(i i i) 5 b c + 9 a d - 3 c - 12$ and $24 - 5 c - 5 b + 2 a b$ [4 MARKS]

Q. Find the HCF and LCM of

24 a^{5} b^{5} c^{4}, 30 a^{3} b^{4} c^{3}, 36 a^{2} b^{3} c^{5}

Q. Find the median and mode of the following observations.

12, 5, 9, 6, 14, 9

and

8

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Find the LCM of the following numbers:(a) 9 and 4(b) 12 and 5(c) 6 and 5

(a)9=3×34=2×2∴LCM=2×2×3×3=36(b)12=3×45=1×5∴LCM=1×3×4×5=60(c)6=3×25=1×2∴LCM=1×2×3×5=30

Find the LCM of the following numbers:
(a) $9$ and $4$
(b) $12$ and $5$
(c) $6$ and $5$

$(a) 9 = 3 \times 3 4 = 2 \times 2 ∴ L C M = 2 \times 2 \times 3 \times 3 = 36 (b) 12 = 3 \times 4 5 = 1 \times 5 ∴ L C M = 1 \times 3 \times 4 \times 5 = 60 (c) 6 = 3 \times 2 5 = 1 \times 2 ∴ L C M = 1 \times 2 \times 3 \times 5 = 30$