Least Common Multiple of 390, 507, 745

Q: How to Find the LCM of 390, 507, 745 ?

Least Common Multiple of 390, 507, 745 = 755430 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(390, 507, 745) = 2 x 3 x 5 x 13 x 13 x 149 = 755430.

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 390, 507, 745 i.e. 755430 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 507, 745 is 755430.

LCM(390, 507, 745) = 755430

LCM of 390, 507, 745

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

Least Common Multiple of 390, 507, 745 by common division method
Least Common Multiple of 390, 507, 745 with GCF Formula

Least Common Multiple of 390,507,745

Least Common Multiple (LCM) of 390,507,745 is 755430

3	390, 507, 745
5	130, 169, 745
13	26, 169, 149
	2, 13, 149

∴ So the LCM of the given numbers is 3 x 5 x 13 x 2 x 13 x 149 = 755430

Least Common Multiple of 390,507,745 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 390,507,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,507,745) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(390,507,745) x common factors =1 x 195 = 195

LCM(390,507,745) = ( 390 × 507 × 745 ) / 195

LCM(390,507,745) = 147308850 / 195

LCM(390,507,745) = 755430

∴ Least Common Multiple of 390,507,745 is 755430

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 390, 507, 745

1. What is the LCM of 390, 507, 745?

Answer: LCM of 390, 507, 745 is 755430.

2. What are the Factors of 755430?

Answer: Factors of 755430 are . There are integers that are factors of 755430

3. How to Find the LCM of 390, 507, 745 ?

Least Common Multiple of 390, 507, 745.

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(390, 507, 745) = 2 x 3 x 5 x 13 x 13 x 149 = 755430.