Least Common Multiple of 448, 3856

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 448, 3856 i.e. 107968 smallest integer divisible by all numbers.

Least common multiple (LCM) of 448, 3856 is 107968.

LCM(448, 3856) = 107968

LCM of 448, 3856

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

LCM of:

Least Common Multiple of 448,3856

Least Common Multiple (LCM) of 448,3856 is 107968

2 448, 3856
2 224, 1928
2 112, 964
2 56, 482
28, 241

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 28 x 241 = 107968

Least Common Multiple of 448,3856 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 448,3856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,3856) = 16

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

GCF(448,3856) x common factors =16 x 1 = 16

LCM(448,3856) = ( 448 × 3856 ) / 16

LCM(448,3856) = 1727488 / 16

LCM(448,3856) = 107968

∴ Least Common Multiple of 448,3856 is 107968

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 448, 3856

1. What is the LCM of 448, 3856?

Answer: LCM of 448, 3856 is 107968.

2. What are the Factors of 107968?

Answer: Factors of 107968 are . There are integers that are factors of 107968

3. How to Find the LCM of 448, 3856 ?

Least Common Multiple of 448, 3856.

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(448, 3856) = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 241 = 107968.