Least Common Multiple of 214, 2274

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 214, 2274 i.e. 243318 smallest integer divisible by all numbers.

Least common multiple (LCM) of 214, 2274 is 243318.

LCM(214, 2274) = 243318

LCM of 214, 2274

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

LCM of:

Least Common Multiple of 214,2274

Least Common Multiple (LCM) of 214,2274 is 243318

2 214, 2274
107, 1137

∴ So the LCM of the given numbers is 2 x 107 x 1137 = 243318

Least Common Multiple of 214,2274 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 214,2274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,2274) = 2

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

GCF(214,2274) x common factors =2 x 1 = 2

LCM(214,2274) = ( 214 × 2274 ) / 2

LCM(214,2274) = 486636 / 2

LCM(214,2274) = 243318

∴ Least Common Multiple of 214,2274 is 243318

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 214, 2274

1. What is the LCM of 214, 2274?

Answer: LCM of 214, 2274 is 243318.

2. What are the Factors of 243318?

Answer: Factors of 243318 are . There are integers that are factors of 243318

3. How to Find the LCM of 214, 2274 ?

Least Common Multiple of 214, 2274.

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(214, 2274) = 2 x 3 x 107 x 379 = 243318.