Least Common Multiple of 38, 30, 401

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 38, 30, 401 i.e. 228570 smallest integer divisible by all numbers.

Least common multiple (LCM) of 38, 30, 401 is 228570.

LCM(38, 30, 401) = 228570

LCM of 38, 30, 401

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

LCM of:

Least Common Multiple of 38,30,401

Least Common Multiple (LCM) of 38,30,401 is 228570

2 38, 30, 401
19, 15, 401

∴ So the LCM of the given numbers is 2 x 19 x 15 x 401 = 228570

Least Common Multiple of 38,30,401 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 38,30,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,30,401) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,30,401) x common factors =1 x 2 = 2

LCM(38,30,401) = ( 38 × 30 × 401 ) / 2

LCM(38,30,401) = 457140 / 2

LCM(38,30,401) = 228570

∴ Least Common Multiple of 38,30,401 is 228570

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 38, 30, 401

1. What is the LCM of 38, 30, 401?

Answer: LCM of 38, 30, 401 is 228570.

2. What are the Factors of 228570?

Answer: Factors of 228570 are . There are integers that are factors of 228570

3. How to Find the LCM of 38, 30, 401 ?

Least Common Multiple of 38, 30, 401.

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(38, 30, 401) = 2 x 3 x 5 x 19 x 401 = 228570.