Question

find the lcm of 40,42,45

Answer 1

Answer:

The LCM of the given terms 40, 42 and 45 will be given as 2520.

Explanation:

Given values are 40, 42 and 45

Taking LCM of these values, we get  

Hence, in LCM, all terms are being multiplied while in HCF only the repeated terms are being multiplied.

LCM of 40, 42 and 45  

$\begin{aligned} = & 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 7 \\\\ & = 72 \times 7 \times 5 = 2520 \end{aligned}$

Therefore, the LCM of the given terms 40, 42 and 45 is found out to be 2520.

Answer 2

Answer:

LCM(40,42,45)=2520

Step-by-step explanation:

We have ,

40 = 2×2×2×5 = 2³×5¹

42 = 2¹×3¹×7¹

45 = 3×3×5 = 3²×5¹

LCM(40,42,45)= 2³×3²×5¹×7¹

/* Product of the greatest power of each prime factor of the numbers */

= 2520

Therefore,

LCM(40,42,45)=2520

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