Math, asked by taazeenansari, 7 months ago

LCM of 240 320 and 360 by prime factorisation method​

Answers

Answered by Anonymous
13

Answer:

Step-by-step explanation:

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Step 1. Divide the larger number by the smaller one:

320 ÷ 240 = 1 + 80;

Step 2. Divide the smaller number by the above operation's remainder:

240 ÷ 80 = 3 + 0;

At this step, the remainder is zero, so we stop:

80 is the number we were looking for, the last remainder that is not zero.

This is the greatest common factor (divisor).

Least common multiple, formula:

lcm (a; b) = (a × b) / gcf, hcf, gcd (a; b);

lcm (240; 320) =

(240 × 320) / gcf, hcf, gcd (240; 320) =

76,800 / 80 =

960;

lcm (240; 320) = 960 = 26 × 3 × 5;

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