Question

find the L. C. M. of the following:- 15 and 45
please explain ke saath bataye​

Answer 1

Step-by-step explanation:

Lcm of 15 and 45

Solution

15,45 lcm will be 45

Hence the lcm of 15 and 45 is 45

Answer 2

$\large{ \underline{ \boxed{ \mathtt{ \purple{L.C.M.\: of \: 15 \: and \: 45 = 45}}}}}$

❖Explanation:

Least common multiple can be found by multiplying the highest exponent prime factors of 15 and 45.

Prime factors of 15 are 3, 5. Prime factorization of 15 in exponential form is:

$\sf{ \: 15 = 3 {}^{1} \times 5 {}^{1} }$

Prime factors of 45 are 3, 5. Prime factorization of 45 in exponential form is:

$\sf{ \: 45 = {3}^{2} \times 5 {}^{1} }$

Now multiplying the highest exponent prime factors to calculate the LCM of 15 and 45.

$\sf{L.C.M.(15.45) = {3}^{2} \times {5}^{1} }$

$\therefore{ \boxed{ \orange{ \sf{L.C.M.(15.45) = 45}}}}$

✤Hope this helps you !!