Least Common Multiple of 390, 230, 345, 831, 274

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, 230, 345, 831, 274 i.e. 340402530 smallest integer divisible by all numbers.

Least common multiple (LCM) of 390, 230, 345, 831, 274 is 340402530.

LCM(390, 230, 345, 831, 274) = 340402530

LCM of 390, 230, 345, 831, 274

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

LCM of:

Least Common Multiple of 390,230,345,831,274

Least Common Multiple (LCM) of 390,230,345,831,274 is 340402530

2 390, 230, 345, 831, 274
3 195, 115, 345, 831, 137
5 65, 115, 115, 277, 137
23 13, 23, 23, 277, 137
13, 1, 1, 277, 137

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 13 x 1 x 1 x 277 x 137 = 340402530

Least Common Multiple of 390,230,345,831,274 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 390,230,345,831,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,230,345,831,274) = 1

common factors(in case of two or more numbers have common factors) = 20700

GCF(390,230,345,831,274) x common factors =1 x 20700 = 20700

LCM(390,230,345,831,274) = ( 390 × 230 × 345 × 831 × 274 ) / 20700

LCM(390,230,345,831,274) = 7046332371000 / 20700

LCM(390,230,345,831,274) = 340402530

∴ Least Common Multiple of 390,230,345,831,274 is 340402530

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 390, 230, 345, 831, 274

1. What is the LCM of 390, 230, 345, 831, 274?

Answer: LCM of 390, 230, 345, 831, 274 is 340402530.

2. What are the Factors of 340402530?

Answer: Factors of 340402530 are . There are integers that are factors of 340402530

3. How to Find the LCM of 390, 230, 345, 831, 274 ?

Least Common Multiple of 390, 230, 345, 831, 274.

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, 230, 345, 831, 274) = 2 x 3 x 5 x 13 x 23 x 137 x 277 = 340402530.