Least Common Multiple of 208, 374, 874

Q: How to Find the LCM of 208, 374, 874 ?

Least Common Multiple of 208, 374, 874 = 16997552 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(208, 374, 874) = 2 x 2 x 2 x 2 x 11 x 13 x 17 x 19 x 23 = 16997552.

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 208, 374, 874 i.e. 16997552 smallest integer divisible by all numbers.

Least common multiple (LCM) of 208, 374, 874 is 16997552.

LCM(208, 374, 874) = 16997552

LCM of 208, 374, 874

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

Least Common Multiple of 208, 374, 874 by common division method
Least Common Multiple of 208, 374, 874 with GCF Formula

Least Common Multiple of 208,374,874

Least Common Multiple (LCM) of 208,374,874 is 16997552

2	208, 374, 874
	104, 187, 437

∴ So the LCM of the given numbers is 2 x 104 x 187 x 437 = 16997552

Least Common Multiple of 208,374,874 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 208,374,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,374,874) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(208,374,874) x common factors =2 x 2 = 4

LCM(208,374,874) = ( 208 × 374 × 874 ) / 4

LCM(208,374,874) = 67990208 / 4

LCM(208,374,874) = 16997552

∴ Least Common Multiple of 208,374,874 is 16997552

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 208, 374, 874

1. What is the LCM of 208, 374, 874?

Answer: LCM of 208, 374, 874 is 16997552.

2. What are the Factors of 16997552?

Answer: Factors of 16997552 are . There are integers that are factors of 16997552

3. How to Find the LCM of 208, 374, 874 ?

Least Common Multiple of 208, 374, 874.

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(208, 374, 874) = 2 x 2 x 2 x 2 x 11 x 13 x 17 x 19 x 23 = 16997552.