Least Common Multiple of 71, 96, 289

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 71, 96, 289 i.e. 1969824 smallest integer divisible by all numbers.

Least common multiple (LCM) of 71, 96, 289 is 1969824.

LCM(71, 96, 289) = 1969824

LCM of 71, 96, 289

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

LCM of:

Least Common Multiple of 71,96,289

Least Common Multiple (LCM) of 71,96,289 is 1969824

Given numbers has no common factors except 1. So, there LCM is their product i.e 1969824

Least Common Multiple of 71,96,289 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 71,96,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,96,289) = 1

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

GCF(71,96,289) x common factors =1 x 1 = 1

LCM(71,96,289) = ( 71 × 96 × 289 ) / 1

LCM(71,96,289) = 1969824 / 1

LCM(71,96,289) = 1969824

∴ Least Common Multiple of 71,96,289 is 1969824

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 71, 96, 289

1. What is the LCM of 71, 96, 289?

Answer: LCM of 71, 96, 289 is 1969824.

2. What are the Factors of 1969824?

Answer: Factors of 1969824 are . There are integers that are factors of 1969824

3. How to Find the LCM of 71, 96, 289 ?

Least Common Multiple of 71, 96, 289.

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(71, 96, 289) = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 17 x 71 = 1969824.