Least Common Multiple of 19, 89, 208

Q: How to Find the LCM of 19, 89, 208 ?

Least Common Multiple of 19, 89, 208 = 351728 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(19, 89, 208) = 2 x 2 x 2 x 2 x 13 x 19 x 89 = 351728.

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 19, 89, 208 i.e. 351728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 19, 89, 208 is 351728.

LCM(19, 89, 208) = 351728

LCM of 19, 89, 208

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

Least Common Multiple of 19, 89, 208 by common division method
Least Common Multiple of 19, 89, 208 with GCF Formula

Least Common Multiple of 19,89,208

Least Common Multiple (LCM) of 19,89,208 is 351728

Given numbers has no common factors except 1. So, there LCM is their product i.e 351728

Least Common Multiple of 19,89,208 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 19,89,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,89,208) = 1

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

GCF(19,89,208) x common factors =1 x 1 = 1

LCM(19,89,208) = ( 19 × 89 × 208 ) / 1

LCM(19,89,208) = 351728 / 1

LCM(19,89,208) = 351728

∴ Least Common Multiple of 19,89,208 is 351728

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 19, 89, 208

1. What is the LCM of 19, 89, 208?

Answer: LCM of 19, 89, 208 is 351728.

2. What are the Factors of 351728?

Answer: Factors of 351728 are . There are integers that are factors of 351728

3. How to Find the LCM of 19, 89, 208 ?

Least Common Multiple of 19, 89, 208.

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(19, 89, 208) = 2 x 2 x 2 x 2 x 13 x 19 x 89 = 351728.