Question

Find the L.C.M .Pls answer fast with step by step explanation.Pls don't spam or I will have to report your answer.​

Answer 1

Answer:

10x^3y^3

42p^3q^4

25a^5b²c²

55a^2b^2c^2

Answer 2

$1)2 {x}^{2} {y}^{3} and \: 10 {x}^{3} y$

$2 {x}^{2} {y}^{3} = 2 \times x \times x \times y \times y \times y$

$10 {x}^{3} y = 2 \times 5 \times x \times x \times x \times y$

x comes maximum 3 times and y come maximum 3 times.

2 and 5 come maximum one time only.

$lcm \: = 2 \times 5 \times x \times x \times x \times y \times y \times y = 10 {x}^{3} {y}^{3}$

Similarly

$2)7 {p}^{2} {q}^{3} \: \: \: 35 {p}^{3} q \: and \: 42p {q}^{4}$

$7 {p}^{2} {q}^{3} = 7 {p}^{2} {q}^{3}$

$35 {p}^{3} q = 7 \times 5 \times {p}^{3} q$

$42p {q}^{4} = 7 \times 3 \times 2 \times p {q}^{4}$

$lcm = 7 \times 5 \times 3 \times 2 \times {p}^{3} {q}^{4} = 210 \: {p}^{3} {q}^{4}$

$3)5 {a}^{5} b \: \: \: \: 15 \: a {b}^{2} c \: \: \: \: 25 {a}^{2} {b}^{2} {c}^{2}$

$5 {a}^{5} b = 5 {a}^{5} b$

$15 \: a {b}^{2} c = 5 \times 3 \times\: a {b}^{2} c$

$25 {a}^{2} {b}^{2} {c}^{2} = 5 \times 5 \times {a}^{2} {b}^{2} {c}^{2}$

$lcm = 5 \times 5 \times 3 {a}^{5} {b}^{2} {c}^{2} = 75 \: {a}^{5} {b}^{2} {c}^{2}$

$4) \: 11 {a}^{2} b {c}^{2} \: \: \: \: 33 {a}^{2} {b}^{2} c \: and \: 55 {a}^{2} b {c}^{2}$

$\: 11 {a}^{2} b {c}^{2} = \: 11 {a}^{2}b {c}^{2}$

$33 {a}^{2} {b}^{2} c = 3 \times 11 \times {a}^{2} {b}^{2} c$

$\: 55 \: {a}^{2} b {c}^{2} =5 \times \: 11 \: {a}^{2}b {c}^{2}$

$lcm \: = 165 {a}^{2} {b}^{2} {c}^{2}$