Least Common Multiple of 42, 72, 343

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

• Least Common Multiple of 42, 72, 343 by common division method
• Least Common Multiple of 42, 72, 343 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 12 x 49 = 24696

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 42,72,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,72,343) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(42,72,343) x common factors =1 x 42 = 42

LCM(42,72,343) = ( 42 × 72 × 343 ) / 42

LCM(42,72,343) = 1037232 / 42

LCM(42,72,343) = 24696

∴ Least Common Multiple of 42,72,343 is 24696

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

• LCM of 87, 21, 716
• LCM of 88, 64, 745
• LCM of 61, 78, 910
• LCM of 91, 31, 217
• LCM of 76, 48, 364

1. What is the LCM of 42, 72, 343?

Answer: LCM of 42, 72, 343 is 24696.

2. What are the Factors of 24696?

Answer: Factors of 24696 are . There are integers that are factors of 24696

3. How to Find the LCM of 42, 72, 343 ?

Least Common Multiple of 42, 72, 343.

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(42, 72, 343) = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 7 = 24696.