Least Common Multiple of 448, 4672

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, 4672 i.e. 32704 smallest integer divisible by all numbers.

Least common multiple (LCM) of 448, 4672 is 32704.

LCM(448, 4672) = 32704

LCM of 448, 4672

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

LCM of:

Least Common Multiple of 448,4672

Least Common Multiple (LCM) of 448,4672 is 32704

2 448, 4672
2 224, 2336
2 112, 1168
2 56, 584
2 28, 292
2 14, 146
7, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 7 x 73 = 32704

Least Common Multiple of 448,4672 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 448,4672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,4672) = 64

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

GCF(448,4672) x common factors =64 x 1 = 64

LCM(448,4672) = ( 448 × 4672 ) / 64

LCM(448,4672) = 2093056 / 64

LCM(448,4672) = 32704

∴ Least Common Multiple of 448,4672 is 32704

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 448, 4672

1. What is the LCM of 448, 4672?

Answer: LCM of 448, 4672 is 32704.

2. What are the Factors of 32704?

Answer: Factors of 32704 are . There are integers that are factors of 32704

3. How to Find the LCM of 448, 4672 ?

Least Common Multiple of 448, 4672.

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, 4672) = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 73 = 32704.