Least Common Multiple of 23, 38, 69, 894

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 23, 38, 69, 894 i.e. 390678 smallest integer divisible by all numbers.

Least common multiple (LCM) of 23, 38, 69, 894 is 390678.

LCM(23, 38, 69, 894) = 390678

LCM of 23, 38, 69, 894

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

LCM of:

Least Common Multiple of 23,38,69,894

Least Common Multiple (LCM) of 23,38,69,894 is 390678

2 23, 38, 69, 894
3 23, 19, 69, 447
23 23, 19, 23, 149
1, 19, 1, 149

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 19 x 1 x 149 = 390678

Least Common Multiple of 23,38,69,894 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 23,38,69,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,38,69,894) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(23,38,69,894) x common factors =1 x 138 = 138

LCM(23,38,69,894) = ( 23 × 38 × 69 × 894 ) / 138

LCM(23,38,69,894) = 53913564 / 138

LCM(23,38,69,894) = 390678

∴ Least Common Multiple of 23,38,69,894 is 390678

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 23, 38, 69, 894

1. What is the LCM of 23, 38, 69, 894?

Answer: LCM of 23, 38, 69, 894 is 390678.

2. What are the Factors of 390678?

Answer: Factors of 390678 are . There are integers that are factors of 390678

3. How to Find the LCM of 23, 38, 69, 894 ?

Least Common Multiple of 23, 38, 69, 894.

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(23, 38, 69, 894) = 2 x 3 x 19 x 23 x 149 = 390678.