Least Common Multiple of 75, 20, 10, 870

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

• Least Common Multiple of 75, 20, 10, 870 by common division method
• Least Common Multiple of 75, 20, 10, 870 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 2 x 5 x 29 = 8700

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 75,20,10,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,20,10,870) = 5

common factors(in case of two or more numbers have common factors) = 300

GCF(75,20,10,870) x common factors =5 x 300 = 1500

LCM(75,20,10,870) = ( 75 × 20 × 10 × 870 ) / 1500

LCM(75,20,10,870) = 13050000 / 1500

LCM(75,20,10,870) = 8700

∴ Least Common Multiple of 75,20,10,870 is 8700

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

• LCM of 37, 17, 23, 165
• LCM of 38, 70, 49, 277
• LCM of 13, 91, 79, 424
• LCM of 30, 77, 69, 257
• LCM of 23, 40, 99, 888

1. What is the LCM of 75, 20, 10, 870?

Answer: LCM of 75, 20, 10, 870 is 8700.

2. What are the Factors of 8700?

Answer: Factors of 8700 are . There are integers that are factors of 8700

3. How to Find the LCM of 75, 20, 10, 870 ?

Least Common Multiple of 75, 20, 10, 870.

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(75, 20, 10, 870) = 2 x 2 x 3 x 5 x 5 x 29 = 8700.