Least Common Multiple of 306, 544, 420

Q: How to Find the LCM of 306, 544, 420 ?

Least Common Multiple of 306, 544, 420 = 171360 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(306, 544, 420) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 = 171360.

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 306, 544, 420 i.e. 171360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 306, 544, 420 is 171360.

LCM(306, 544, 420) = 171360

LCM of 306, 544, 420

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

Least Common Multiple of 306, 544, 420 by common division method
Least Common Multiple of 306, 544, 420 with GCF Formula

Least Common Multiple of 306,544,420

Least Common Multiple (LCM) of 306,544,420 is 171360

2	306, 544, 420
2	153, 272, 210
3	153, 136, 105
17	51, 136, 35
	3, 8, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 3 x 8 x 35 = 171360

Least Common Multiple of 306,544,420 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 306,544,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,544,420) = 2

common factors(in case of two or more numbers have common factors) = 204

GCF(306,544,420) x common factors =2 x 204 = 408

LCM(306,544,420) = ( 306 × 544 × 420 ) / 408

LCM(306,544,420) = 69914880 / 408

LCM(306,544,420) = 171360

∴ Least Common Multiple of 306,544,420 is 171360

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 306, 544, 420

1. What is the LCM of 306, 544, 420?

Answer: LCM of 306, 544, 420 is 171360.

2. What are the Factors of 171360?

Answer: Factors of 171360 are . There are integers that are factors of 171360

3. How to Find the LCM of 306, 544, 420 ?

Least Common Multiple of 306, 544, 420.

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(306, 544, 420) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 = 171360.