Question

find the LCM using division method 12,15,19,24 ​

Answer 1

Step-by-step explanation:

According to euclidean division algorithm -:

15= 12×1 +3

now

12= 3×5+0

HCF (12,15) = 3

Now taking 15 and 19

19 = 15×12 +3

15= 3×5+0

HCF ( 15,19) = 3

Now taking 19 and 24

24 = 19×1 +5

19= 5×3 +4

5 = 4×1+1

4 = 1×4 +0

HCF (12,15,19,24) = 1×3=3

we know that,

hcf× lcm = products of two numbers

3× x = 12 × 15 × 19 × 24

3x = 123120

x = 123120÷3 = 41040

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Answer 2

Answer:

LCM of 12 is 2×2×3, 15=3×5, 1919×1, 24=2×2×2×3