Least Common Multiple of 216, 6448

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 216, 6448 i.e. 174096 smallest integer divisible by all numbers.

Least common multiple (LCM) of 216, 6448 is 174096.

LCM(216, 6448) = 174096

LCM of 216, 6448

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

LCM of:

Least Common Multiple of 216,6448

Least Common Multiple (LCM) of 216,6448 is 174096

2 216, 6448
2 108, 3224
2 54, 1612
27, 806

∴ So the LCM of the given numbers is 2 x 2 x 2 x 27 x 806 = 174096

Least Common Multiple of 216,6448 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 216,6448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,6448) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(216,6448) x common factors =8 x 1 = 8

LCM(216,6448) = ( 216 × 6448 ) / 8

LCM(216,6448) = 1392768 / 8

LCM(216,6448) = 174096

∴ Least Common Multiple of 216,6448 is 174096

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 216, 6448

1. What is the LCM of 216, 6448?

Answer: LCM of 216, 6448 is 174096.

2. What are the Factors of 174096?

Answer: Factors of 174096 are . There are integers that are factors of 174096

3. How to Find the LCM of 216, 6448 ?

Least Common Multiple of 216, 6448.

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(216, 6448) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 31 = 174096.