Least Common Multiple of 214, 642, 23

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, 642, 23 i.e. 14766 smallest integer divisible by all numbers.

Least common multiple (LCM) of 214, 642, 23 is 14766.

LCM(214, 642, 23) = 14766

LCM of 214, 642, 23

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

LCM of:

Least Common Multiple of 214,642,23

Least Common Multiple (LCM) of 214,642,23 is 14766

2 214, 642, 23
107 107, 321, 23
1, 3, 23

∴ So the LCM of the given numbers is 2 x 107 x 1 x 3 x 23 = 14766

Least Common Multiple of 214,642,23 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 214,642,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,642,23) = 1

common factors(in case of two or more numbers have common factors) = 214

GCF(214,642,23) x common factors =1 x 214 = 214

LCM(214,642,23) = ( 214 × 642 × 23 ) / 214

LCM(214,642,23) = 3159924 / 214

LCM(214,642,23) = 14766

∴ Least Common Multiple of 214,642,23 is 14766

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 214, 642, 23

1. What is the LCM of 214, 642, 23?

Answer: LCM of 214, 642, 23 is 14766.

2. What are the Factors of 14766?

Answer: Factors of 14766 are . There are integers that are factors of 14766

3. How to Find the LCM of 214, 642, 23 ?

Least Common Multiple of 214, 642, 23.

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, 642, 23) = 2 x 3 x 23 x 107 = 14766.