Least Common Multiple of 205, 738, 860

Q: How to Find the LCM of 205, 738, 860 ?

Least Common Multiple of 205, 738, 860 = 317340 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, 738, 860) = 2 x 2 x 3 x 3 x 5 x 41 x 43 = 317340.

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, 738, 860 i.e. 317340 smallest integer divisible by all numbers.

Least common multiple (LCM) of 205, 738, 860 is 317340.

LCM(205, 738, 860) = 317340

LCM of 205, 738, 860

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

Least Common Multiple of 205, 738, 860 by common division method
Least Common Multiple of 205, 738, 860 with GCF Formula

Least Common Multiple of 205,738,860

Least Common Multiple (LCM) of 205,738,860 is 317340

2	205, 738, 860
5	205, 369, 430
41	41, 369, 86
	1, 9, 86

∴ So the LCM of the given numbers is 2 x 5 x 41 x 1 x 9 x 86 = 317340

Least Common Multiple of 205,738,860 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 205,738,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,738,860) = 1

common factors(in case of two or more numbers have common factors) = 410

GCF(205,738,860) x common factors =1 x 410 = 410

LCM(205,738,860) = ( 205 × 738 × 860 ) / 410

LCM(205,738,860) = 130109400 / 410

LCM(205,738,860) = 317340

∴ Least Common Multiple of 205,738,860 is 317340

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 205, 738, 860

1. What is the LCM of 205, 738, 860?

Answer: LCM of 205, 738, 860 is 317340.

2. What are the Factors of 317340?

Answer: Factors of 317340 are . There are integers that are factors of 317340

3. How to Find the LCM of 205, 738, 860 ?

Least Common Multiple of 205, 738, 860.

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, 738, 860) = 2 x 2 x 3 x 3 x 5 x 41 x 43 = 317340.