Least Common Multiple of 390, 345, 754

Q: How to Find the LCM of 390, 345, 754 ?

Least Common Multiple of 390, 345, 754 = 260130 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, 345, 754) = 2 x 3 x 5 x 13 x 23 x 29 = 260130.

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, 345, 754 i.e. 260130 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 345, 754 is 260130.

LCM(390, 345, 754) = 260130

LCM of 390, 345, 754

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

Least Common Multiple of 390, 345, 754 by common division method
Least Common Multiple of 390, 345, 754 with GCF Formula

Least Common Multiple of 390,345,754

Least Common Multiple (LCM) of 390,345,754 is 260130

2	390, 345, 754
3	195, 345, 377
5	65, 115, 377
13	13, 23, 377
	1, 23, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 23 x 29 = 260130

Least Common Multiple of 390,345,754 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 390,345,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,345,754) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(390,345,754) x common factors =1 x 390 = 390

LCM(390,345,754) = ( 390 × 345 × 754 ) / 390

LCM(390,345,754) = 101450700 / 390

LCM(390,345,754) = 260130

∴ Least Common Multiple of 390,345,754 is 260130

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, 345, 754

1. What is the LCM of 390, 345, 754?

Answer: LCM of 390, 345, 754 is 260130.

2. What are the Factors of 260130?

Answer: Factors of 260130 are . There are integers that are factors of 260130

3. How to Find the LCM of 390, 345, 754 ?

Least Common Multiple of 390, 345, 754.

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, 345, 754) = 2 x 3 x 5 x 13 x 23 x 29 = 260130.