Least Common Multiple of 46, 69, 13, 288

Q: How to Find the LCM of 46, 69, 13, 288 ?

Least Common Multiple of 46, 69, 13, 288 = 86112 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(46, 69, 13, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 23 = 86112.

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 46, 69, 13, 288 i.e. 86112 smallest integer divisible by all numbers.

Least common multiple (LCM) of 46, 69, 13, 288 is 86112.

LCM(46, 69, 13, 288) = 86112

LCM of 46, 69, 13, 288

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

Least Common Multiple of 46, 69, 13, 288 by common division method
Least Common Multiple of 46, 69, 13, 288 with GCF Formula

Least Common Multiple of 46,69,13,288

Least Common Multiple (LCM) of 46,69,13,288 is 86112

2	46, 69, 13, 288
3	23, 69, 13, 144
23	23, 23, 13, 48
	1, 1, 13, 48

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 1 x 13 x 48 = 86112

Least Common Multiple of 46,69,13,288 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,69,13,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,69,13,288) = 1

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

GCF(46,69,13,288) x common factors =1 x 138 = 138

LCM(46,69,13,288) = ( 46 × 69 × 13 × 288 ) / 138

LCM(46,69,13,288) = 11883456 / 138

LCM(46,69,13,288) = 86112

∴ Least Common Multiple of 46,69,13,288 is 86112

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 46, 69, 13, 288

1. What is the LCM of 46, 69, 13, 288?

Answer: LCM of 46, 69, 13, 288 is 86112.

2. What are the Factors of 86112?

Answer: Factors of 86112 are . There are integers that are factors of 86112

3. How to Find the LCM of 46, 69, 13, 288 ?

Least Common Multiple of 46, 69, 13, 288.

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(46, 69, 13, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 23 = 86112.