Least Common Multiple of 23, 31, 390

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

• Least Common Multiple of 23, 31, 390 by common division method
• Least Common Multiple of 23, 31, 390 with GCF Formula

Given numbers has no common factors except 1. So, there LCM is their product i.e 278070

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 23,31,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,31,390) = 1

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

GCF(23,31,390) x common factors =1 x 1 = 1

LCM(23,31,390) = ( 23 × 31 × 390 ) / 1

LCM(23,31,390) = 278070 / 1

LCM(23,31,390) = 278070

∴ Least Common Multiple of 23,31,390 is 278070

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

• LCM of 94, 65, 145
• LCM of 11, 24, 690
• LCM of 90, 63, 880
• LCM of 97, 89, 404
• LCM of 20, 12, 233

1. What is the LCM of 23, 31, 390?

Answer: LCM of 23, 31, 390 is 278070.

2. What are the Factors of 278070?

Answer: Factors of 278070 are . There are integers that are factors of 278070

3. How to Find the LCM of 23, 31, 390 ?

Least Common Multiple of 23, 31, 390.

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(23, 31, 390) = 2 x 3 x 5 x 13 x 23 x 31 = 278070.