Least Common Multiple of 345, 168, 828

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 345, 168, 828 i.e. 57960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 345, 168, 828 is 57960.

LCM(345, 168, 828) = 57960

LCM of 345, 168, 828

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

LCM of:

Least Common Multiple of 345,168,828

Least Common Multiple (LCM) of 345,168,828 is 57960

2 345, 168, 828
2 345, 84, 414
3 345, 42, 207
23 115, 14, 69
5, 14, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 5 x 14 x 3 = 57960

Least Common Multiple of 345,168,828 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 345,168,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,168,828) = 3

common factors(in case of two or more numbers have common factors) = 276

GCF(345,168,828) x common factors =3 x 276 = 828

LCM(345,168,828) = ( 345 × 168 × 828 ) / 828

LCM(345,168,828) = 47990880 / 828

LCM(345,168,828) = 57960

∴ Least Common Multiple of 345,168,828 is 57960

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 345, 168, 828

1. What is the LCM of 345, 168, 828?

Answer: LCM of 345, 168, 828 is 57960.

2. What are the Factors of 57960?

Answer: Factors of 57960 are . There are integers that are factors of 57960

3. How to Find the LCM of 345, 168, 828 ?

Least Common Multiple of 345, 168, 828.

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(345, 168, 828) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 = 57960.