Least Common Multiple of 28, 67, 448

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 28, 67, 448 i.e. 30016 smallest integer divisible by all numbers.

Least common multiple (LCM) of 28, 67, 448 is 30016.

LCM(28, 67, 448) = 30016

LCM of 28, 67, 448

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

LCM of:

Least Common Multiple of 28,67,448

Least Common Multiple (LCM) of 28,67,448 is 30016

2 28, 67, 448
2 14, 67, 224
7 7, 67, 112
1, 67, 16

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 67 x 16 = 30016

Least Common Multiple of 28,67,448 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 28,67,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,67,448) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(28,67,448) x common factors =1 x 28 = 28

LCM(28,67,448) = ( 28 × 67 × 448 ) / 28

LCM(28,67,448) = 840448 / 28

LCM(28,67,448) = 30016

∴ Least Common Multiple of 28,67,448 is 30016

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 28, 67, 448

1. What is the LCM of 28, 67, 448?

Answer: LCM of 28, 67, 448 is 30016.

2. What are the Factors of 30016?

Answer: Factors of 30016 are . There are integers that are factors of 30016

3. How to Find the LCM of 28, 67, 448 ?

Least Common Multiple of 28, 67, 448.

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(28, 67, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 67 = 30016.