Least Common Multiple of 36, 96, 343

Q: How to Find the LCM of 36, 96, 343 ?

Least Common Multiple of 36, 96, 343 = 98784 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(36, 96, 343) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 7 = 98784.

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 36, 96, 343 i.e. 98784 smallest integer divisible by all numbers.

Least common multiple (LCM) of 36, 96, 343 is 98784.

LCM(36, 96, 343) = 98784

LCM of 36, 96, 343

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

Least Common Multiple of 36, 96, 343 by common division method
Least Common Multiple of 36, 96, 343 with GCF Formula

Least Common Multiple of 36,96,343

Least Common Multiple (LCM) of 36,96,343 is 98784

2	36, 96, 343
2	18, 48, 343
3	9, 24, 343
	3, 8, 343

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 8 x 343 = 98784

Least Common Multiple of 36,96,343 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 36,96,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,96,343) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(36,96,343) x common factors =1 x 12 = 12

LCM(36,96,343) = ( 36 × 96 × 343 ) / 12

LCM(36,96,343) = 1185408 / 12

LCM(36,96,343) = 98784

∴ Least Common Multiple of 36,96,343 is 98784

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 36, 96, 343

1. What is the LCM of 36, 96, 343?

Answer: LCM of 36, 96, 343 is 98784.

2. What are the Factors of 98784?

Answer: Factors of 98784 are . There are integers that are factors of 98784

3. How to Find the LCM of 36, 96, 343 ?

Least Common Multiple of 36, 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(36, 96, 343) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 7 = 98784.