Question

Find the LCM of 16,28,40,77 by prime factorisation method.​

Answer 1

Answer:

       6160

Step-by-step explanation:

• 16 = 2⁴
• 28 = 2² × 7¹
• 40 = 2³ × 5¹

• 77 = 7¹ × 11¹

The primes that occur in these factorisations are 2, 5, 7, 11.

The highest exponent of 2 is 4 (in the factorisation of 16).

The highest exponent of 5 is 1.

The highest exponent of 7 is 1.

The highest exponent of 11 is 1.

So the LCM is

• 2⁴ × 5¹ × 7¹ × 11¹  =  6160