Least Common Multiple of 729, 63, 918, 144

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 729, 63, 918, 144 i.e. 1388016 smallest integer divisible by all numbers.

Least common multiple (LCM) of 729, 63, 918, 144 is 1388016.

LCM(729, 63, 918, 144) = 1388016

LCM of 729, 63, 918, 144

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

LCM of:

Least Common Multiple of 729,63,918,144

Least Common Multiple (LCM) of 729,63,918,144 is 1388016

2 729, 63, 918, 144
3 729, 63, 459, 72
3 243, 21, 153, 24
3 81, 7, 51, 8
27, 7, 17, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 27 x 7 x 17 x 8 = 1388016

Least Common Multiple of 729,63,918,144 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 729,63,918,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,63,918,144) = 9

common factors(in case of two or more numbers have common factors) = 486

GCF(729,63,918,144) x common factors =9 x 486 = 4374

LCM(729,63,918,144) = ( 729 × 63 × 918 × 144 ) / 4374

LCM(729,63,918,144) = 6071181984 / 4374

LCM(729,63,918,144) = 1388016

∴ Least Common Multiple of 729,63,918,144 is 1388016

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 729, 63, 918, 144

1. What is the LCM of 729, 63, 918, 144?

Answer: LCM of 729, 63, 918, 144 is 1388016.

2. What are the Factors of 1388016?

Answer: Factors of 1388016 are . There are integers that are factors of 1388016

3. How to Find the LCM of 729, 63, 918, 144 ?

Least Common Multiple of 729, 63, 918, 144.

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(729, 63, 918, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 17 = 1388016.