Question
Find the LCM and HCF of the following integer by applying the prime factorisation method.
$40, 36$ and $126$
$40, 36$ and $126$
✓
Answer
Let us first find the factors of $40, 36$ and $126$
$40 = 2^3 \times 5$
$36 = 2^2 \times 3^2$
$126 = 2 \times 3^2 \times 7$
L.C.M of $40, 36$ and $126 = 2^3 \times 3^2 \times 5 \times 7$
L.C.M of $40, 36$ and $126 = 2520$
H.C.F of $40, 3$6 and $126 = 2$
$40 = 2^3 \times 5$
$36 = 2^2 \times 3^2$
$126 = 2 \times 3^2 \times 7$
L.C.M of $40, 36$ and $126 = 2^3 \times 3^2 \times 5 \times 7$
L.C.M of $40, 36$ and $126 = 2520$
H.C.F of $40, 3$6 and $126 = 2$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the adjoining figure, chord AD $\cong$ chord BC. m(arc ADC) = 100°, m(arc CD) = 60°. Find m(arc AB) and m(arc BC).
→→
If $\alpha$ and $\beta$ are the zeros of the quadratic polynomial $f(x) = x^2 - 1$, find a quadratic polynomial whose zeroes are $\frac{2\alpha}{\beta}$ and $\frac{2\beta}{\alpha}.$
→The cost of fencing a square lawn at $₹ 14$ per metre is $₹ 28000$. Find the cost of mowing the lawn at $₹ 54\ per\ 100\ m^2$.
→Find the coordinates of the point which divides the line segment joining $(-1, 3)$ and $(4, -7)$ internally in the ratio $3 : 4$.
→For the following statments state whether true (T) or false(F):
The ratio of the areas of two similar triangles is equal to the ratio of their corresponding angle-bisector segments.
The ratio of the areas of two similar triangles is equal to the ratio of their corresponding angle-bisector segments.
The sum of the first n terms of an A.P. is $3n^2 + 6n$.
Find the $n^{th}$ term of this A.P.
→Find the $n^{th}$ term of this A.P.
Very-Short and Short-Answer Questions:
Write the value of k for which the system of equations $3x + ky = 0, 2x - y = 0$ has a unique solution.
→Write the value of k for which the system of equations $3x + ky = 0, 2x - y = 0$ has a unique solution.
The diameter of a coin is $1\ cm$ (in the following figure). If four such coins be placed on a table so that the rim of each touches that of the other two, find the area of the shaded region $\big(\text{Take }\pi = 3.1416\big). $
→How many terms of the A.P.: 9, 17, 25, .... must be taken to give a sum of 636 ?