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smileycellist2

Answered question

2021-08-01

Determine the lowest common multiple (LCM) and the highest common factor (HCF) of the following algebraic terms by using prime factors:

22 a^{5} b^{3} c^{2} . 2 a^{4} b^{4} c^{3} . 4 a^{2} b^{2} c^{5}

Caren

Skilled2021-08-02Added 96 answers

Step 1
Given ,

X = 22 a^{5} b^{3} c^{2}

Y = 2 a^{4} b^{4} c^{3}

Z = 4 a^{2} b^{2} c^{5}

Step 2

22 a^{5} b^{3} c^{2} . 2 a^{4} b^{4} c^{3} . 4 a^{2} b^{2} c^{5}

Let

x = 2 \times 11 \times a^{5} \times b^{3} \times c^{2}

y = 2 \times a^{4} \times b^{4} \times c^{3}

z = 2 \times 2 \times a^{2} \times b^{2} \times c^{5}

L C M = 2 \times 11 \times 2 \times a^{5} \times b^{4} \times c^{5}

L C M = 44 a^{5} b^{4} c^{5}

H C F = 2 \times a^{2} \times b^{2} \times c^{2}

H C F = 2 a^{2} b^{2} c^{2}

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