Least Common Multiple of 96, 84, 28, 14

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

• Least Common Multiple of 96, 84, 28, 14 by common division method
• Least Common Multiple of 96, 84, 28, 14 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 1 x 1 x 1 = 672

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 96,84,28,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,84,28,14) = 2

common factors(in case of two or more numbers have common factors) = 2352

GCF(96,84,28,14) x common factors =2 x 2352 = 4704

LCM(96,84,28,14) = ( 96 × 84 × 28 × 14 ) / 4704

LCM(96,84,28,14) = 3161088 / 4704

LCM(96,84,28,14) = 672

∴ Least Common Multiple of 96,84,28,14 is 672

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 39, 78, 68, 58
• LCM of 89, 57, 46, 88
• LCM of 70, 43, 87, 64
• LCM of 96, 73, 14, 45
• LCM of 23, 21, 77, 75

1. What is the LCM of 96, 84, 28, 14?

Answer: LCM of 96, 84, 28, 14 is 672.

2. What are the Factors of 672?

Answer: Factors of 672 are . There are integers that are factors of 672

3. How to Find the LCM of 96, 84, 28, 14 ?

Least Common Multiple of 96, 84, 28, 14.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(96, 84, 28, 14) = 2 x 2 x 2 x 2 x 2 x 3 x 7 = 672.