Question

L.C.M. of 1530 and 85​

Answer 1

Answer:

Least Common Multiple (LCM) of 85 and 1530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85 and 1530. First we will calculate the prime factors of 85 and 1530.

Prime Factorization of 85

Prime factors of 85 are 5, 17. Prime factorization of 85 in exponential form is:

85 = 51 × 171

Prime Factorization of 1530

Prime factors of 1530 are 2, 3, 5, 17. Prime factorization of 1530 in exponential form is:

1530 = 21 × 32 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 85 and 1530.

LCM(85,1530) = 51 × 171 × 21 × 32

LCM(85,1530) = 1530

Answer 2

Step-by-step explanation:

QUESTION ASKED ;

find out the LCM of the 1530 and 85

METHOD TO FIND ;

• 1st , find out the factor of each term
• Arrange them in the common pair
• Multiply the common and remaining

FORMULA USED HERE:

LCM = COMMON FACTOR × REMAINING FACTOR ( CF × RF)

SOLUTION ;

1530 = 2 × 3× 5×3×17

85= 5× 17

CF = 5 ×17

RF= 2×3×3

THAN,

LCM= 5×17×2×3×3

= 1530 answer