Least Common Multiple of 828, 492, 414

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

• Least Common Multiple of 828, 492, 414 by common division method
• Least Common Multiple of 828, 492, 414 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 23 x 1 x 41 x 1 = 33948

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 828,492,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,492,414) = 6

common factors(in case of two or more numbers have common factors) = 828

GCF(828,492,414) x common factors =6 x 828 = 4968

LCM(828,492,414) = ( 828 × 492 × 414 ) / 4968

LCM(828,492,414) = 168653664 / 4968

LCM(828,492,414) = 33948

∴ Least Common Multiple of 828,492,414 is 33948

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

• LCM of 761, 426, 713
• LCM of 299, 453, 329
• LCM of 249, 406, 216
• LCM of 913, 541, 981
• LCM of 610, 894, 904

1. What is the LCM of 828, 492, 414?

Answer: LCM of 828, 492, 414 is 33948.

2. What are the Factors of 33948?

Answer: Factors of 33948 are . There are integers that are factors of 33948

3. How to Find the LCM of 828, 492, 414 ?

Least Common Multiple of 828, 492, 414.

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(828, 492, 414) = 2 x 2 x 3 x 3 x 23 x 41 = 33948.