Least Common Multiple of 105, 1984

Q: How to Find the LCM of 105, 1984 ?

Least Common Multiple of 105, 1984 = 208320 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(105, 1984) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 31 = 208320.

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 105, 1984 i.e. 208320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 105, 1984 is 208320.

LCM(105, 1984) = 208320

LCM of 105, 1984

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

Least Common Multiple of 105, 1984 by common division method
Least Common Multiple of 105, 1984 with GCF Formula

Least Common Multiple of 105,1984

Least Common Multiple (LCM) of 105,1984 is 208320

Given numbers has no common factors except 1. So, there LCM is their product i.e 208320

Least Common Multiple of 105,1984 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 105,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,1984) = 1

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

GCF(105,1984) x common factors =1 x 1 = 1

LCM(105,1984) = ( 105 × 1984 ) / 1

LCM(105,1984) = 208320 / 1

LCM(105,1984) = 208320

∴ Least Common Multiple of 105,1984 is 208320

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 105, 1984

1. What is the LCM of 105, 1984?

Answer: LCM of 105, 1984 is 208320.

2. What are the Factors of 208320?

Answer: Factors of 208320 are . There are integers that are factors of 208320

3. How to Find the LCM of 105, 1984 ?

Least Common Multiple of 105, 1984.

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(105, 1984) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 31 = 208320.