Least Common Multiple of 31, 19, 364

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

• Least Common Multiple of 31, 19, 364 by common division method
• Least Common Multiple of 31, 19, 364 with GCF Formula

Given numbers has no common factors except 1. So, there LCM is their product i.e 214396

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 31,19,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,19,364) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,19,364) x common factors =1 x 1 = 1

LCM(31,19,364) = ( 31 × 19 × 364 ) / 1

LCM(31,19,364) = 214396 / 1

LCM(31,19,364) = 214396

∴ Least Common Multiple of 31,19,364 is 214396

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

• LCM of 49, 21, 189
• LCM of 29, 20, 392
• LCM of 62, 23, 388
• LCM of 23, 48, 369
• LCM of 74, 92, 841

1. What is the LCM of 31, 19, 364?

Answer: LCM of 31, 19, 364 is 214396.

2. What are the Factors of 214396?

Answer: Factors of 214396 are . There are integers that are factors of 214396

3. How to Find the LCM of 31, 19, 364 ?

Least Common Multiple of 31, 19, 364.

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(31, 19, 364) = 2 x 2 x 7 x 13 x 19 x 31 = 214396.