Question

Find the lcm of 45,35,75

Answer 1

Answer:

Factorization=

75= 3 , 5, 5

35= 5, 7,           (common factors=5,7,3)

45= 3, 3, 5

Now, Number of times each prime factor appears in the factorization

3=  75- 1

     35- 0           (Max-2)

      45- 2

5=  75-2

     35- 1             (Max-2)

      45-1

7= 75- 0

    35- 1               (Max-1)

     45-0

Therefore, LCM = (3×3)×(5×5)×(7)

                           = 9×25×7

                           =1575

Lcm of 75 35 45  is 1575