Least Common Multiple of 45, 31, 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 45, 31, 401 i.e. 559395 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 31, 401 is 559395.

LCM(45, 31, 401) = 559395

LCM of 45, 31, 401

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

LCM of:

Least Common Multiple of 45,31,401

Least Common Multiple (LCM) of 45,31,401 is 559395

Given numbers has no common factors except 1. So, there LCM is their product i.e 559395

Least Common Multiple of 45,31,401 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 45,31,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,31,401) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(45,31,401) x common factors =1 x 1 = 1

LCM(45,31,401) = ( 45 × 31 × 401 ) / 1

LCM(45,31,401) = 559395 / 1

LCM(45,31,401) = 559395

∴ Least Common Multiple of 45,31,401 is 559395

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 45, 31, 401

1. What is the LCM of 45, 31, 401?

Answer: LCM of 45, 31, 401 is 559395.

2. What are the Factors of 559395?

Answer: Factors of 559395 are . There are integers that are factors of 559395

3. How to Find the LCM of 45, 31, 401 ?

Least Common Multiple of 45, 31, 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(45, 31, 401) = 3 x 3 x 5 x 31 x 401 = 559395.