Least Common Multiple of 205, 288

Q: How to Find the LCM of 205, 288 ?

Least Common Multiple of 205, 288 = 59040 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(205, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 41 = 59040.

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 205, 288 i.e. 59040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 205, 288 is 59040.

LCM(205, 288) = 59040

LCM of 205, 288

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

Least Common Multiple of 205, 288 by common division method
Least Common Multiple of 205, 288 with GCF Formula

Least Common Multiple of 205,288

Least Common Multiple (LCM) of 205,288 is 59040

Given numbers has no common factors except 1. So, there LCM is their product i.e 59040

Least Common Multiple of 205,288 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 205,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,288) = 1

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

GCF(205,288) x common factors =1 x 1 = 1

LCM(205,288) = ( 205 × 288 ) / 1

LCM(205,288) = 59040 / 1

LCM(205,288) = 59040

∴ Least Common Multiple of 205,288 is 59040

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 205, 288

1. What is the LCM of 205, 288?

Answer: LCM of 205, 288 is 59040.

2. What are the Factors of 59040?

Answer: Factors of 59040 are . There are integers that are factors of 59040

3. How to Find the LCM of 205, 288 ?

Least Common Multiple of 205, 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(205, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 41 = 59040.