Least Common Multiple of 242, 1200, 209

Q: How to Find the LCM of 242, 1200, 209 ?

Least Common Multiple of 242, 1200, 209 = 2758800 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(242, 1200, 209) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 11 x 19 = 2758800.

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 242, 1200, 209 i.e. 2758800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 242, 1200, 209 is 2758800.

LCM(242, 1200, 209) = 2758800

LCM of 242, 1200, 209

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

Least Common Multiple of 242, 1200, 209 by common division method
Least Common Multiple of 242, 1200, 209 with GCF Formula

Least Common Multiple of 242,1200,209

Least Common Multiple (LCM) of 242,1200,209 is 2758800

2	242, 1200, 209
11	121, 600, 209
	11, 600, 19

∴ So the LCM of the given numbers is 2 x 11 x 11 x 600 x 19 = 2758800

Least Common Multiple of 242,1200,209 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 242,1200,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,1200,209) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(242,1200,209) x common factors =1 x 22 = 22

LCM(242,1200,209) = ( 242 × 1200 × 209 ) / 22

LCM(242,1200,209) = 60693600 / 22

LCM(242,1200,209) = 2758800

∴ Least Common Multiple of 242,1200,209 is 2758800

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 242, 1200, 209

1. What is the LCM of 242, 1200, 209?

Answer: LCM of 242, 1200, 209 is 2758800.

2. What are the Factors of 2758800?

Answer: Factors of 2758800 are . There are integers that are factors of 2758800

3. How to Find the LCM of 242, 1200, 209 ?

Least Common Multiple of 242, 1200, 209.

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(242, 1200, 209) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 11 x 19 = 2758800.