Least Common Multiple of 39, 80, 84, 361

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 39, 80, 84, 361 i.e. 7884240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 80, 84, 361 is 7884240.

LCM(39, 80, 84, 361) = 7884240

LCM of 39, 80, 84, 361

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

LCM of:

Least Common Multiple of 39,80,84,361

Least Common Multiple (LCM) of 39,80,84,361 is 7884240

2 39, 80, 84, 361
2 39, 40, 42, 361
3 39, 20, 21, 361
13, 20, 7, 361

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 20 x 7 x 361 = 7884240

Least Common Multiple of 39,80,84,361 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 39,80,84,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,80,84,361) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(39,80,84,361) x common factors =1 x 12 = 12

LCM(39,80,84,361) = ( 39 × 80 × 84 × 361 ) / 12

LCM(39,80,84,361) = 94610880 / 12

LCM(39,80,84,361) = 7884240

∴ Least Common Multiple of 39,80,84,361 is 7884240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 39, 80, 84, 361

1. What is the LCM of 39, 80, 84, 361?

Answer: LCM of 39, 80, 84, 361 is 7884240.

2. What are the Factors of 7884240?

Answer: Factors of 7884240 are . There are integers that are factors of 7884240

3. How to Find the LCM of 39, 80, 84, 361 ?

Least Common Multiple of 39, 80, 84, 361.

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(39, 80, 84, 361) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 19 x 19 = 7884240.