LCM of 240 320 and 360 by prime factorisation method
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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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