Least Common Multiple of 74, 71, 14, 214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 74, 71, 14, 214 i.e. 3935246 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 71, 14, 214 is 3935246.

LCM(74, 71, 14, 214) = 3935246

LCM of 74, 71, 14, 214

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

LCM of:

Least Common Multiple of 74,71,14,214

Least Common Multiple (LCM) of 74,71,14,214 is 3935246

2 74, 71, 14, 214
37, 71, 7, 107

∴ So the LCM of the given numbers is 2 x 37 x 71 x 7 x 107 = 3935246

Least Common Multiple of 74,71,14,214 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 74,71,14,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,71,14,214) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(74,71,14,214) x common factors =1 x 4 = 4

LCM(74,71,14,214) = ( 74 × 71 × 14 × 214 ) / 4

LCM(74,71,14,214) = 15740984 / 4

LCM(74,71,14,214) = 3935246

∴ Least Common Multiple of 74,71,14,214 is 3935246

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 74, 71, 14, 214

1. What is the LCM of 74, 71, 14, 214?

Answer: LCM of 74, 71, 14, 214 is 3935246.

2. What are the Factors of 3935246?

Answer: Factors of 3935246 are . There are integers that are factors of 3935246

3. How to Find the LCM of 74, 71, 14, 214 ?

Least Common Multiple of 74, 71, 14, 214.

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(74, 71, 14, 214) = 2 x 7 x 37 x 71 x 107 = 3935246.