Least Common Multiple of 507, 742, 189

Q: How to Find the LCM of 507, 742, 189 ?

Least Common Multiple of 507, 742, 189 = 3385746 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(507, 742, 189) = 2 x 3 x 3 x 3 x 7 x 13 x 13 x 53 = 3385746.

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 507, 742, 189 i.e. 3385746 smallest integer divisible by all numbers.

Least common multiple (LCM) of 507, 742, 189 is 3385746.

LCM(507, 742, 189) = 3385746

LCM of 507, 742, 189

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

Least Common Multiple of 507, 742, 189 by common division method
Least Common Multiple of 507, 742, 189 with GCF Formula

Least Common Multiple of 507,742,189

Least Common Multiple (LCM) of 507,742,189 is 3385746

3	507, 742, 189
7	169, 742, 63
	169, 106, 9

∴ So the LCM of the given numbers is 3 x 7 x 169 x 106 x 9 = 3385746

Least Common Multiple of 507,742,189 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 507,742,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,742,189) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(507,742,189) x common factors =1 x 21 = 21

LCM(507,742,189) = ( 507 × 742 × 189 ) / 21

LCM(507,742,189) = 71100666 / 21

LCM(507,742,189) = 3385746

∴ Least Common Multiple of 507,742,189 is 3385746

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 507, 742, 189

1. What is the LCM of 507, 742, 189?

Answer: LCM of 507, 742, 189 is 3385746.

2. What are the Factors of 3385746?

Answer: Factors of 3385746 are . There are integers that are factors of 3385746

3. How to Find the LCM of 507, 742, 189 ?

Least Common Multiple of 507, 742, 189.

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(507, 742, 189) = 2 x 3 x 3 x 3 x 7 x 13 x 13 x 53 = 3385746.