Least Common Multiple of 67, 94, 288

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 67, 94, 288 i.e. 906912 smallest integer divisible by all numbers.

Least common multiple (LCM) of 67, 94, 288 is 906912.

LCM(67, 94, 288) = 906912

LCM of 67, 94, 288

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

LCM of:

Least Common Multiple of 67,94,288

Least Common Multiple (LCM) of 67,94,288 is 906912

2 67, 94, 288
67, 47, 144

∴ So the LCM of the given numbers is 2 x 67 x 47 x 144 = 906912

Least Common Multiple of 67,94,288 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 67,94,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,94,288) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(67,94,288) x common factors =1 x 2 = 2

LCM(67,94,288) = ( 67 × 94 × 288 ) / 2

LCM(67,94,288) = 1813824 / 2

LCM(67,94,288) = 906912

∴ Least Common Multiple of 67,94,288 is 906912

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 67, 94, 288

1. What is the LCM of 67, 94, 288?

Answer: LCM of 67, 94, 288 is 906912.

2. What are the Factors of 906912?

Answer: Factors of 906912 are . There are integers that are factors of 906912

3. How to Find the LCM of 67, 94, 288 ?

Least Common Multiple of 67, 94, 288.

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(67, 94, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 47 x 67 = 906912.