Least Common Multiple of 21, 47, 15, 345

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

• Least Common Multiple of 21, 47, 15, 345 by common division method
• Least Common Multiple of 21, 47, 15, 345 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 7 x 47 x 1 x 23 = 113505

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 21,47,15,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,47,15,345) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(21,47,15,345) x common factors =1 x 45 = 45

LCM(21,47,15,345) = ( 21 × 47 × 15 × 345 ) / 45

LCM(21,47,15,345) = 5107725 / 45

LCM(21,47,15,345) = 113505

∴ Least Common Multiple of 21,47,15,345 is 113505

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

• LCM of 45, 69, 75, 812
• LCM of 33, 76, 44, 138
• LCM of 19, 40, 72, 478
• LCM of 97, 90, 22, 569
• LCM of 61, 28, 62, 503

1. What is the LCM of 21, 47, 15, 345?

Answer: LCM of 21, 47, 15, 345 is 113505.

2. What are the Factors of 113505?

Answer: Factors of 113505 are . There are integers that are factors of 113505

3. How to Find the LCM of 21, 47, 15, 345 ?

Least Common Multiple of 21, 47, 15, 345.

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(21, 47, 15, 345) = 3 x 5 x 7 x 23 x 47 = 113505.