Least Common Multiple of 84, 96, 343

Q: How to Find the LCM of 84, 96, 343 ?

Least Common Multiple of 84, 96, 343 = 32928 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(84, 96, 343) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 = 32928.

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 84, 96, 343 i.e. 32928 smallest integer divisible by all numbers.

Least common multiple (LCM) of 84, 96, 343 is 32928.

LCM(84, 96, 343) = 32928

LCM of 84, 96, 343

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

Least Common Multiple of 84, 96, 343 by common division method
Least Common Multiple of 84, 96, 343 with GCF Formula

Least Common Multiple of 84,96,343

Least Common Multiple (LCM) of 84,96,343 is 32928

2	84, 96, 343
2	42, 48, 343
3	21, 24, 343
7	7, 8, 343
	1, 8, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 8 x 49 = 32928

Least Common Multiple of 84,96,343 with GCF Formula

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

We need to calculate greatest common factor of 84,96,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,96,343) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(84,96,343) x common factors =1 x 84 = 84

LCM(84,96,343) = ( 84 × 96 × 343 ) / 84

LCM(84,96,343) = 2765952 / 84

LCM(84,96,343) = 32928

∴ Least Common Multiple of 84,96,343 is 32928

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 84, 96, 343

1. What is the LCM of 84, 96, 343?

Answer: LCM of 84, 96, 343 is 32928.

2. What are the Factors of 32928?

Answer: Factors of 32928 are . There are integers that are factors of 32928

3. How to Find the LCM of 84, 96, 343 ?

Least Common Multiple of 84, 96, 343.

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(84, 96, 343) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 = 32928.