Least Common Multiple of 423, 378, 213

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 423, 378, 213 i.e. 1261386 smallest integer divisible by all numbers.

Least common multiple (LCM) of 423, 378, 213 is 1261386.

LCM(423, 378, 213) = 1261386

LCM of 423, 378, 213

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

LCM of:

Least Common Multiple of 423,378,213

Least Common Multiple (LCM) of 423,378,213 is 1261386

3 423, 378, 213
3 141, 126, 71
47, 42, 71

∴ So the LCM of the given numbers is 3 x 3 x 47 x 42 x 71 = 1261386

Least Common Multiple of 423,378,213 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 423,378,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,378,213) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(423,378,213) x common factors =3 x 9 = 27

LCM(423,378,213) = ( 423 × 378 × 213 ) / 27

LCM(423,378,213) = 34057422 / 27

LCM(423,378,213) = 1261386

∴ Least Common Multiple of 423,378,213 is 1261386

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 423, 378, 213

1. What is the LCM of 423, 378, 213?

Answer: LCM of 423, 378, 213 is 1261386.

2. What are the Factors of 1261386?

Answer: Factors of 1261386 are . There are integers that are factors of 1261386

3. How to Find the LCM of 423, 378, 213 ?

Least Common Multiple of 423, 378, 213.

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(423, 378, 213) = 2 x 3 x 3 x 3 x 7 x 47 x 71 = 1261386.