Least Common Multiple of 321, 984, 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 321, 984, 214 i.e. 105288 smallest integer divisible by all numbers.

Least common multiple (LCM) of 321, 984, 214 is 105288.

LCM(321, 984, 214) = 105288

LCM of 321, 984, 214

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

LCM of:

Least Common Multiple of 321,984,214

Least Common Multiple (LCM) of 321,984,214 is 105288

2 321, 984, 214
3 321, 492, 107
107 107, 164, 107
1, 164, 1

∴ So the LCM of the given numbers is 2 x 3 x 107 x 1 x 164 x 1 = 105288

Least Common Multiple of 321,984,214 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 321,984,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,984,214) = 1

common factors(in case of two or more numbers have common factors) = 642

GCF(321,984,214) x common factors =1 x 642 = 642

LCM(321,984,214) = ( 321 × 984 × 214 ) / 642

LCM(321,984,214) = 67594896 / 642

LCM(321,984,214) = 105288

∴ Least Common Multiple of 321,984,214 is 105288

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 321, 984, 214

1. What is the LCM of 321, 984, 214?

Answer: LCM of 321, 984, 214 is 105288.

2. What are the Factors of 105288?

Answer: Factors of 105288 are . There are integers that are factors of 105288

3. How to Find the LCM of 321, 984, 214 ?

Least Common Multiple of 321, 984, 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(321, 984, 214) = 2 x 2 x 2 x 3 x 41 x 107 = 105288.